The fundamental formula for Time and Work problems is Capacity × Time = Work, where Capacity represents the work done per unit time. For two people working together, the combined time can be calculated using the shortcut formula: (A × B) / (A + B), where A and B are the individual times taken to complete the work. For three people working together, the combined time is calculated as: (A × B × C) / (AB + BC + CA). These formulas allow for quick calculation of work completion times in competitive exams.
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Time & Work | Subrat Sir Ki धमाकेदार Math Class | SSC, Railway, Jharkhand Police.Added:
All this has happened. Will you see it?
This has also happened. All this has happened. Sir, the previous sir must have got the discontent one done as well. Isn't it? This too is over.
We got this done for you also. SI and CI have also been done.
Is it or not? Now let's go to which one? Let's move on to time and work. Isn't it? Time and work.
Chapter two of the commission seems to be the most difficult.
One is compound interest and the other is time and work. These two are the hardest. But if you understand it in a simple way, you will understand. Isn't it? It won't feel hard.
At least eight Go formulas were described in compound interest.
And there's only one formula. There is a formula for time and work.
And if you understand that then you will be able to do it in short, in basics, in tricks.
That will be done in three different ways.
Here, pay attention to time and work. Isn't it? Only one formula is used in this. That means work equals efficiency * time. That is, what is work equal to efficiency times? Time.
What is work equal to? Capacity times time. What does this equal? This work is equal.
What do we call this in English?
What will you write if efficiency * time equals? work. As you might have read about time and distance, there it was said that speed * time equals distance.
Tell me what was told there? So speed * time equals distance. That is, in time and distance, it was told that speed * time equals distance. That means if your speed is high then it will take less time. If you move slowly, how much time will it take? It will take more. Same thing has to be done in the same way in time and work also.
If we talk about your capability.
If you have the ability, you will move ahead.
If you don't have the capability, you will lag behind.
Is it or not? It depends on the ability whether a person will move forward or backward. For example, let's talk about a hypersonic missile. His ability is the fastest. It is faster than a rocket. So somewhere the missile can go even further than the rocket. Ca n't you go? May go.
Depends on the capacity. Just like time and distance depend on speed, if the speed is higher then it will take less time.
If your pace is slow, it will take more time. Same if we talk about capacity. Capacity is like strength, who has more strength.
You have to keep in mind that if you have more capacity and strength, then whatever work you do will take less time. If you are worried or not, if you work then it is possible that the work which was to be done in one day, you are taking 10 days or not, then somewhere your capacity is less and the one whose capacity is less will call someone else to come and work with me so that the work gets done quickly, then capacity times time equals work, if this chapter has been done then you will do this chapter also, it is the same.
All you have to pay attention to here is that in place of speed, what is your capacity, time, time and in place of distance? have work.
Now pay attention here.
If we talk about capacity. If we need capacity, then tell me what will we write equal to capacity?
Work divided by time.
If we need time, what will time equal? Work divided by capacity. Like if we were talking about moves, what would the move equal? It was distance divided by time.
Similarly, what will the capacity equal to? Tasks /Time. So you can understand its meaning as distance and work.
If it is related to that. If we talk about time, then what will time be equal to? Distance divided by speed. Does it happen or not? There is only one formula, Babu.
This is what you have to understand that capacity * time equals work.
Is it or not? That means you can also say that capacity equals work/time. So you have to write only that much. Don't write it in this divided form, otherwise it will come in duplicate.
Tell me what about that? So there is a transformed form.
Yes. I have to write till there. Now let's go straight to the question. Isn't it?
What is a question saying that A can finish a work in 10 days and B can finish it in 15 days individually, then in how many days will they both finish that work together?
Is it in 6 days or not? Now you can immediately say that in short, if both of us do it together, that is, if a + b do it together, then what else needs to be done? Please multiply this.
10 * 15 and what tax do both have to pay? If both are doing it together then what should be done? Please add it and how much will it become after adding this?
Tell me it will be 25. That means you can say that now your answer will come. Is it or not?
[sound of clearing throat] Now let's break it down properly, how much is 150 / 25 and 25 grams? It will become 150. Here is your exact answer. You will make this in the exam.
You have to make it like this in the exam. You are still learning, right? You will be explained how to learn. Let's do it all in short. Well, this is also short, Babu. Isn't it?
Look, do it with understanding, you will like it. It is here, isn't it? This happens quickly. Sir, I have multiplied it here. Both were multiplied and both were done together. So we have combined both of them. Is it or not? Will come immediately.
It is made in short tricks.
If you understand here that A is completing some work in 10 days.
Completing it in 10 days. Let's talk about B.
B is doing that work in 15 days.
How much in a day? Working in 15 days.
So if we take the LCM of these two, then tell me what it will be. What will be the LCM? So it will become 30. 30 LCM and this 30 which is this will be equal to the work.
What will this be equal to? So work and you also knew what capacity times time equals? Work was done. Time has been given to you.
How much has been given? 10 is given.
So what will we multiply by 10 so that my work will come to 30. I have to tell you this. You will multiply it three times, right? So tell me what will be three? So that's going to be the capacity of A, three. That means 10 * 3 = 30.
So, you have to tell that this is 15, so if we write 15 for B and multiply it by what here, it will come to 30. Two has to be done.
Is it or not? That means how much will 15 * 2ni be? 30 So this was written earlier a = 10 days b = 15 days. This will be your time. What is this of yours? It was a matter of time.
Now this is your three and two written.
Tell me what is this? So the potential is there. You know whether you say capacity * time or time times capacity. What will this be equal to? This will be equivalent to work. This is the formula I had written. What does that work equal? Capacity times time. Let us understand again. Now let's read further. Let's go, right? It is complete till here. Then in how many days will both of them together finish that work? Babu, who are those two together? A and B tell us what we need? So how many days are you talking about? The formula is the same, efficiency * time equals what? work. We need time. So tell me what is time equal to? So work divided by capacity. That means what will happen if the work is divided? There will be efficiency. If we talk about both a + b, what do we need?
Time is needed. So what will be the time equal to that of both of them together, how much work was there, Babu? 30 30 and if both of them do it together then what will be the total? It will be five. That means time will equal work/efficiency.
This was the basic formula. That means capacity * time equals work and this is where we need time. So time will equal work/ efficiency. Tell me how much was the total work, 30, what was the capacity, if we add both and subtract 5 then how much will it be 5 * 6 = 30, what is this 6, is it in days or hours, is it in days, you can do this thing like this and if you want to do it even faster then you have to make it immediately, it can be made in one line, every question will be made in one line, this is quick but it does not last for long. It will last for at least 8 to 10 days.
Then it's over after that.
Now let us understand one basic thing. What are you saying? What does a basic solve consist of? This is what you have to pay attention to.
Suppose A does a piece of work in 10 days.
A What do you say? So, there is a work of digging a pit or filling a bucket, you can do it because the time and work and the tap and the tank are the same, you can do it by using the same formula.
That is, capacity times time equals work, this will be applicable in both the chapters. One will come in your time and work and the other will happen in the pipes and tank. The same formula is used in both.
Basically you can ask questions with him like there is a work of digging a pit and A does some work in 10 days.
So there is one work Babu, what is that one? There is work and in how many days is A completing one work? A is doing it in 10 days. Let's move forward with understanding.
After that, who cares about B? For the same work. In how many days does he do the same work? Does it in 15 days. Meaning A is doing it in 10 days and B is doing it in how many days separately? It is doing this in 15 days.
These people are doing it in 15 days. And tell me one more thing, did you read here that efficiency * time equals what? It works, right?
Now if we talk about A here, let's talk about A. Let's take A here.
We don't know about efficiency A. Yes. See, did you know how much time it took? Tell me how much work is there in 10 days. The total work is one work, so tell me what will be the capacity of A, it will be 1/10. Similarly, tell me what will be the capacity of B, will it be 1/15 or not, so we are writing the capacity here that it will be 1/10.
Capacity of A will be 1/15.
What is all this, it is capacity and it has to be calculated using the same formula, right? Now he is asking further that in how many days will these two together complete that work? So there was only one formula that capacity times time equals what? Work.
Both of you will do it together. a + b will do it together.
Now I have to tell you here that we will talk about capacity. So tell me what was the capacity of A? Meaning to do the sum of a + b.
And how much time will it take to do this?
Tell me how much more work will you do? So that's a task to do.
This basic solution is a bit of a light lay. Isn't it? And whoever knows how will do it immediately.
Now understand meditation here.
What was the capacity of A given?
What was the capacity of 1/10 B given? 1/15 is given. We need time. We do n't even know the time. We assume t. And how much will you write equal to? How much work was there?
Total was a task. I will write one. Now understand carefully from here.
What will be its LCM? So you were doing 30, 30 comes from here Babu.
This thing is made from basic. It is made here.
If someone knows the basics then he can do such shortcuts.
If anyone knows this, he will make it in a line. If someone knows in one line, he will make it after looking at the options. Sir, this is the answer.
Is it or not? Meaning you have to keep learning from here.
It is not that you should first learn here, then learn this, then learn here. No, you will have to practice once or twice and then it will be done. Basic is also good. There is nothing wrong with the basics.
Yes, there is a slight delay in time.
So basically we don't need even a little bit. We need it quickly. It is not needed in two lines.
Need it in one line. You can also do a line. Please remove even one line. You can also make it verbally. It depends on practice as to how much one practices.
Let us understand here. Let's say we take 1/2 and talk about 1/3, then what will be its LCM? So it will be six, right? If not six, we can also do 2*3 like this. Either we write three with it, 3 * 1 = 3 and 2 * 1 = 2, do you know this or not?
We will do the same with this also.
What did you do? Tell. We did not write the LCM of 30. We have directly written 10 * 15 and this 15 went here 15 * 1 = 15 and added it, it became 10 * 1 = 10 and then how much multiplication should be written t and what do we need equal to one, tell me, we need what do we need for a and b, we need time, so the time will become equal, Sir, this was multiplication below and if it goes on equal to that, then what will happen, this will become 10 times 15, how much will it become 10 times 15, if we add these two, then how much will be there after adding, tell me, this will become 25 and then we have to do it from here, which we did earlier in one line, so what does it mean that it is made of one line from the basic itself, you just have to pay attention or you can do it by dragging from here, Sir, it is not looking good when subtracting it, so we will do it like this, it will be done, it will not be good, what will happen, then multiply from here or you can also subtract by five, it will come to six, six is not too long, Babu. 1 2 3 4 It is only of five lines. It is of five-six lines. Isn't it? Here it is of one, two or three lines. It is of one line here. Look at it from here. It is made from here. The entire shorty is formed by the one who becomes the exam taker. And the one who has the basics clear will make it immediately in short. Isn't it?
You can do it like this also. There are many different ways.
Or you can do it verbally also. Are you understanding this? What are we saying? Let go.
Now you understand how to make it. Whether you want to make it like this or like that or in one line depends on you. Isn't it?
How will you make it?
So let's get the basics aside.
When you demand basic, after there is a great need for it, we will make it basic. Otherwise we are not going to make Basic. Let's go into it. Let's go into it. It is of two lines. Do n't drag it out for too long. It will be made of two lines.
Or if you say it in one line, you can also make a line. If we speak verbally, that can also happen. We just have to remember the multiplication table till 20. You guys will also have to remember the multiplication table till 20. Read the multiplication table. What is the question saying? That Raju and Shyam independently complete a piece of work in 40 minutes and 60 minutes respectively. So respectively it will mean that this Raju, this is the first one, if we talk about Shyam then this second one will be 60 minutes. That means you can write here that whatever will happen to Raju will happen in 40 minutes, Shyam is there, if we talk about Shyam then it will happen in 60 minutes. Now what do both of them have to do with it? Please take LCM. What will be the LCM of both?
What will be the LCM of both?
How much should I multiply 120 to get 120? Three.
How much will you multiply then? 120 will come. Two.
Then read what he is saying further that if they work together then who else was this Ramu and not Raju? Shyam. If both Raju and Shyam work together, what will be the total profit? So tell me, now you know what I will multiply five by so that I get 120. Both together will give the answer. End of discussion.
Tell me what will you multiply by five? Both will come together. So it will have to be deducted from five. Isn't it? 5 * 2 = 10, so 5 * 4 = 20 becomes 24. Or you can also write below, Raju, whose else do we want? Shyam's.
Both need time together. So time equals work divided by capacity. And what was the capacity of both? Five. 5 * 2 = 10 5 * 4 20 What will this amount to? It will be a minute. You will be able to do it easily, right? Or you can do this thing directly in one line also.
Sir, please multiply both of them.
So what will be 40 * 60 divided by?
By adding both it becomes 10, the answer is over, the matter is over, zero will be deducted 4 * 6 4 20, you can do it immediately, you don't make it basic, it is okay to do it once or twice, in a hurry the mistake is happening, is it yours or not, will it be 12 or 10, you have to tell, in how much time will both of them complete the same work with 12 together. The same pattern that was done in number one has been done in number two. Tell me what he is saying? So if we talk about the complete short then multiply both of them.
Whose meaning was it? Amit and whatever it is or not? We will not write it completely. You are writing A and B, right? A, tell me what else are you writing? B is Amit and this is Ashish. If both of them do it together then what will be the total of 20 * 30 / adding both? 50 zero zero will be deducted, we will deduct from five 5 4 20 and 4 3 12 so this will become 12 hours, answer if we go ahead while understanding you can do that also, here you will make the majority like this, it will be good, tell me how much of this type was given, 20 hours and how much was given of Ashish, 30 and what will be its LCM, tell me? It will become 60. 20 * 3 = 60 30 * 2 = 60 If both do it together then do you know what efficiency * time equals? It works, right? What do we need? Time is needed. And what is time equal to? Work divided by the capacity of both and 5 12 60 will be the answer to 12 hours. You can do it like this. Isn't it? Or you can also divide it by one. That's fine too.
Suppose if Ram and Shyam together do a work in 30 days and Ram alone completes it in 50 days, then in how many days will Shyam alone complete that work? This is what he is saying. Tell us whose one do you want? So, who needs it? Do you want Shyam's or not?
Talking about Shyam, how much was there here? After combining both we will write 30 * 50, we have to divide it by 50 - 30, where did this short trick come from?
You will know by making that basic. Is it or not?
Let's calculate this. 30 * 50 will become 20. It will be 75 days. What will happen to 75? It will be day.
Where is this coming from? If you do the basic session then you will know. Like we did in number one, right?
Now let's make it from here. Let us see what is being said here that in how many days Ram and Shyam together complete a work? In 30 days. So here I am writing Ram and Shyam. You can also write these people as R + S.
Complete it in 30 days.
In 30 days. Then we will read further. Ram alone finishes it in 5 days. That means what does Ram do alone in 5 days? It ends. Now what will be its LCM? Let's do it in 50 days. Now find its LCM.
What will be its LCM? So it's 150, right? It will become 150. Tell me what multiplication will you do? It will become 150. If we multiply here then it will be 150, three, if we talk about Ram and Shyam, then how much was given, five is the capacity, what is all this, tell me, so capacity is capacity, tell me how much is the capacity of Ram, if you know the capacity of Ram, if it is three then tell me how much will be the capacity of Shyam, so that if we add both of them then how much will it be, it will be two and we need only Shyam, in how many days will Shyam alone complete that work, so you know the full efficiency * time, whose work is equal to time, tell us, what is the time required for Shyam, what is the time required for Shyam and time is equal to work divided by capacity and how much was the capacity of Shyam, tell me where did two come from because three was removed from five because when both were added it was coming to five, so this will become your two and we will subtract it from two, 2 * 7 = 14 2 * 5 = 10 this will become 75.
This is also getting late. Isn't it getting lighter? It's getting late. It is better that you make it from this. And when will you be able to make this? Once you can do basic shorts, you can make one line immediately. Did that much come or not?
Yes. Here we have to understand what was the combined capacity of Ram and Shyam? It was five.
If the capacity of Ram is three.
Tell me what is the capacity of Ram? So if there are three then what will be the capacity of Shyam? So that I get five, I have to add two and write it. We wanted Shyam only.
In how many days will Shyam alone complete the work? If we want a day, then what was a day equal to? So day equals work divided by capacity.
And what was the total work? He is talking about the same work which both of them had done together. 150 works. 150 work / 2 have to be done. Will come immediately.
Or you can do this. This needs to be made basic, Babu. Isn't it? I have to speak. Isn't it? If you do not understand something then you can clear it from the basics also.
Make the next question immediately.
Tell me how much it will be? So it will be 12. You can make it quickly.
This has to be done, Babu.
Tell us whose you want. So Ranjan. Once you learn this shortcut completely, you will be able to make it immediately. If we have to do multiplication then 3 * 4, now let's talk about it, if we subtract it then how much will it become after subtracting it, one means how much will it become, it was 12 days, write it, the day is over, the answer is over, you can make it like this in the exam and you can do it while understanding, so anyway it is okay, Girish, Sudhir and whom are you talking about, we will talk about Girish, Sudhir and Ranjan, these three together complete any work in 3 days.
If Girish and Sudhir are saying that work, who else but Girish? Sudhir completes that work in 4 days, then tell me in how many days will Ranjan alone complete that work? This double data was given and from here you can calculate the LCM.
How much will it be? Tell me what is 12 12? So this is the work Babu. Isn't it? There are 12 tasks. If this is time then time times capacity equals then work is done. So tell me what will we write in place of capacity here?
Four. What will you write here? Three. Now we have to pay attention to how much was given to Girish and Suresh? No, Sudhir's. Girish and Sudhir were given three. Meaning there are three till here. So what do we add to three to get four?
That means how much will Ranjan earn then? One.
What will be Ranjan's capacity? If there was one then we needed only Ranjan's and you know what is efficiency * time equal to work and this thing does not have to be written again and again, so you should remember it, you needed time, whose time did you need, Ranjan's, so we needed Ranjan's time, then the time will be equal to work divided by capacity and capacity, how much was Ranjan's, was it easy or not, you can do it immediately, just have to understand here that this is Girish, right, and if we talk about Sudhir, if his capacity is three, then how much will Ranjan's be, so his is already three, so if we add Ranjan's one, it will become four, so Ranjan's capacity has been found out, you can find it immediately, now let's go ahead, Babu, you can make it yourself, you can see it, it will be done immediately in short tricks, we need the answer, Babu, you have to tell us quickly, Babu, can you do this thing A and B together, that is, A + B, these people together can do it in so many minutes. If B alone takes 90 minutes to dig it.
How much does B take alone? It takes what, 90 minutes? takes time. Now what to do with these two? Please take LCM.
What will be its LCM? I have to tell you this Sir, from here two will definitely become zero and nine will become 18, so it means 18, it will become 1800, it will become 1800, 6 * 3 = 9 * 2 = 18. You have to understand here that how much was A and B, it was three and what is the capacity of B alone, it is two, so I have to tell you what will be the capacity of A, then how much will it be after adding both, it will become three, we need A, Babu, what do you need of A?
How long will it take A alone to dig it?
So here we have to write A time is required. And time equals work divided by capacity. Now tell me what will be the capacity of A? there will be a. For example, if B's was two of yours, then if B's is two then how much will A's be? One. So both of them together will make three.
So this will be 1800 minutes.
Here is your exact answer. So these were all two people. Isn't it? There were two people. Three people can also do this. Let's move ahead. You can make it immediately in short in the next one, right?
Multiply both of them like this. Isn't it?
Tell both of them what to do? We have to multiply that by 600 * 900 and find the difference between the two.
How much will it cost if it is removed? So this will be your 300. Now cut it well.
3 * 1 = 3 3 * 3 = 9 and 6 * 3 = 1800. You have to make it like this in the exam. Isn't it? You can make it immediately in the exam. Now if you are learning this then learn it in short or you can do the basics anyway.
What is being said here is that three friends can finish a work separately in 4, 5 and 10 days. We are talking about how many friends you have in sequence, right? Three friends. So let's say the first friend is A. Second friend B and what is this of yours? C is. Please take out all three.
These 4 days, these 5 days and how many days is this? 10 days. All this is a matter of time.
What is all this to say? So it is a matter of time.
Now what do you have to do with it? Please take LCM.
What will be the LCM?
20 If we write 20 here, what is 20?
it is work. Tell me what is 20? So this is the total work Babu, it will be 20.
Talking about 40, 4 * 5 = 5 * 4 10 * 2 = 20 Now we will read further. After this, if that is there, if that comes together then all these will come together, right? So the entire work, this was 20 works, in how many days will he finish the 20 works, so by adding all three it is saying that if all three a + b + c work together then in how much time will these people complete it, so time is equal to work divided by capacity and after adding all three what will it be, 5 4, right 9 10 11, is this one, will it become 11, so if it was 9 divided by 11 days, then write the days. End of discussion. Can you understand what this thing is saying? Isn't it? And you can make this thing immediately in shortcut. You can also do one line.
But you don't have to pay much attention here. The child understands the entire short to some extent. The child does not understand some things. We will talk about all three. We will talk about a + b + c. Please multiply everything. 4 * 5 * 10 Now if we leave out four then 5 10 will become 50. If we leave out five, it will become 4 10 40. If we leave out 10, what will be 4 * 5? 20 Now everyone has to do the accounting. Multiply it or else leave it as it is.
4 * 5 * 10 and what will be the sum of all these?
110 This zero zero will be deducted from you. So it will be 20/11. Meaning, you can make 1 integer 9 by 11 in a line also, but we would not want you to make it like this immediately, you should keep learning, if you are feeling a bit mixed up here also, then you can do the basic session also, it can be done by assuming one subtraction, there is no problem till here, yes here it is saying that they will be combined together, all three will be combined together, so here when the total capacity is done, then what will be the total capacity, if you want to tell, then what will be the total capacity after adding all of them, the capacity will be 11, the power is 11, right, how much work has to be done, 20 work time is equal to work times capacity, let's make the next one, it is of the same pattern. You have to make it quickly.
That is the question Babu, 10 12 20 is given. We will not write A B C again and again. Isn't it? Have to direct LCM. What will be the LCM? I have to tell you this. Let's do 60 also. Will it reach 120 or not? Okay, no problem, let's take 60.
60 10 6 Now what is he saying that if all three of them come together then tell me how much will be the total when all three come together? So how much will this amount to for everyone? 11 3 14 so 14 is my capacity. Do you know what capacity * time equals? The work gets done. This is what happens, isn't it?
Now we have to divide by 14. Or you can write here the time will be equal to 60 / 14 subtracted from the first two. 2 * 7 = 14 30 7 * 4 28 29 30 This is the answer, right? Yes. A number will be the answer. It's a simple one. You can do it like this. Isn't it? Let's move ahead.
[sound of clearing throat] Make it quick.
A, B, C together can do some work in this much number of days.
A alone can do the work in 30 days.
B alone can do the work in 40 days.
Then in how many days will C alone complete that work? This has to be told.
Look, we make [throat clearing sound] too.
In how many days will A, B, C together, that is, A + B + C, complete the work? They do it in 10 days. And then it is said that A alone does that work in 30 days. So here we will write A alone completes the work in 30 days.
How many days will it take for B alone? What will he do in 40 days? Will complete the work. So tell me in how many days C alone will complete it? So in how many days will C alone complete it?
You have to find this.
Tell me what will be the LCM of all?
What will be the LCM of all these?
120 We have taken 120 LCM. If we do it with 10, how much will it be? This will talk about 12 A. You understood till here, right? Tell us who needs it? So we need C. What do you want from C? Time. And what is the time of C equal to? Function/ability. Now you have to write here, tell us what you want for C? Time is needed.
In how many days will C alone complete it?
So the time required for C, so time is equal to work divided by efficiency. And you have to tell what will be the capacity of C? You have to understand carefully that Sir, what was the capacity of A? What was the sum of four and B? Three.
So how much is four three? Seven. So what should I add to seven to get 12?
So 7 5 12, how much do you have to do in place of C? If we subtract five and five, 5 * 2 = 10 and 5 4 will be the answer to 24 days. Isn't it? By doing this you can do it immediately.
Now let's move ahead.
Make it. Make it in an easy way.
Mohan, Rakesh and Sohan together can build a wall in 20 days. Rakesh alone can do the same work in 60 days and Sohan alone can do it in 90 days.
So in how many days will Mohan alone complete that work? Do n't write the full Mohan as full Mohan.
Please write M. Isn't it? We will talk about Mohan plus Rakesh plus Sohan, how much it was, we don't even leave it for 20 days, if we talk about Rakesh, Rakesh will become that in 60 days, if we talk about Sohan, Sohan will become yours in 90 days, take the LCM of all these things, how much will it be, 180, how much will 180 be, first 9 * 2 = 18, this is 60, Babu, what is this, your 60, six to 6 * 3 = 18, 2 * 9 will become 18, what has this all become, your capacity, what is all this capacity, now tell me whose capacity is required, in how many days will Mohan alone complete that work, we don't know how much capacity Mohan has, yes, but his capacity was given as three, how much capacity Sohan was given as two, so 3 2 becomes 5, so what will we add to five so that my capacity will become nine, it will become four, so whose capacity is this, four will become Mohan's, capacity will become four, so what do we need for Mohan, tell me the time required and the time will be equal, work will be divided Your capacity will be determined from here, how much will it be after adding Mohan to five and five, your nine should have come, so here five will become four, so write four, it has to be subtracted from four. Please cut it. Poorapu will be cut. Yes, it will be cut. 4 16 How much is left?
Two. And 4 * 5 = 20 days will be the exact answer.
And you can do the same thing as a bat. Isn't it? You can also do it as a bat.
But it should not be done like this. Isn't it? What you had to do here is multiply the capacity, Sir, this is the only formula. Capacity * Time equals what to write? Work. We consider work a task. Tell me how much work you are assuming?
A task. A task. Now let's talk about capacity.
Sir, who all are here? This is Mohan. Who else is there? Is it Rakesh and who else? Sohan. For how many days were these three working together?
These three are doing it together for 20 days. So how much time is given here? 20 is given.
Now let's talk further about Mohan, we do n't know about Mohan. Yes, but how many days does Rakesh do it alone? In 60 days. So Rakesh will write here it will be 1/60 capacity. Tell me how much will Sohan cost? So Sohan's share will be 1/90, you can calculate it like this also. We don't know Mohan so we are writing 1/m. This will be Mohan's.
This was 20 times what will happen to that? It will be a runaway.
Or you can say that if you write 1/m then it will still be 1/20. This was a plus, what will happen with that? This will become a minus. That means you can say that 1/60 minus will become 1/90, you can solve it in this basic way. But you should not do it like this, is it in the exam or not?
All this is nonsense.
Now if we take the LCM of everyone, it will not come to that much, Babu. How much will it cost?
Now if we do this then if 2 9 18 9 was coming then the first one will become nine.
How much will you get if you talk to him? If three people talk about this, how much will it be?
Two and minus + 3 4 5 What will be the result if we subtract five from nine?
What will be Mohan's capacity? It will become four.
So, this is 4 divided by 180. Then we have to cut it. How much will it cost after cutting? 4 * 1 = 4 4 * 4 = 16 and 4 * 5 = 20 will become equal, so this means Mohan, you will know how much Mohan will be in 45 days, that is, if you want, you can do it with such a formula which is there in most of the books, if you want to learn, you can learn like this and if you can increase the speed, you can do it from here and you can do it quickly, right, you can do it immediately, you have to multiply everything, what do you have to do, you have to multiply everything, like you color it here.
20 * 60 * what to do? Have to do 90. Now we have to divide it. It was 20, right? Now which one out of 20 has to do it? 60 minus 60 will do. This has to be minused. That means we will write 60 * 90 and then subtract it. From here we have to do 20 * 60.
Then who should I minus? You can do 20 * 90. It will come immediately.
Where does this thing come from? This is where it comes from. Isn't it? This is where it comes from. If we move this back and forth, that one will come.
This is where the shortcut comes from. How much will it become if we multiply all of them? So what will be 20 * 60 times? 90 If we hide 20, then we have to multiply it, so it will become 60 times 90.
In the middle there will be minus to minus. If we hide 60, it becomes 20 times 90.
So 20 times 90 will be 90. Then we have to convert minus to minus. Then if we hide it, how much will it become 20 times? It will become 60.
We have just turned it around and written it here.
This is a line. This means that if someone knows the basics, he can make it in one line and if someone knows the shortcuts, he can make it in his mouth. There is a way Babu, there are different ways. There is no one here, just playing with his mind here and there and nothing else. Look from here, we have brought it from the basics to number one.
And is this what we call it? They call it a trick. Tell me what do you say?
Tricks speak. The only trick is to keep a child in the dark and nothing else.
If we make everything in tricks, we will finish it one by one. We will make 50 questions in 5 minutes. Will make it instantly in seconds. I remember the multiplication table till 20.
So you have to understand what is happening and what is not happening. Let's move ahead.
Beyond that, tricks are magic, Babu. Isn't it?
It lasts for 8 days to 10 days in shortcut. If you go while understanding where it is coming from, what is happening, then it will always remain.
Try making it yourself. Isn't it? Three army groups together can build a bridge in 12 days. So what can this first group, second group and this third group together do in these 12 days? Let's build a bridge. Then he is saying that if we talk about the first group, then the first group makes it in 36 days. Meaning A is the first group. A will make it in 36 days. Let's talk about the second group. B is the second group and this B will make it in 48 days.
Is it or not? Now he is saying that we can make them separately.
So how many days will it take for the third group alone to complete it? So the third group C will be how much can C do it for?
You can do this.
In how many days can C complete it? So you can understand this. The thing [sound of clearing throat] has to be understood carefully. You don't have to do LCM like that in outside.
When you were doing LCM outside, you should not do LCM like this outside. What you were doing here is 12, then you were doing 36. We were doing 48 here.
So you don't have to find the LCM like this. Isn't it? To find the LCM, you should pay attention to how to find the LCM fastest.
We should not do it like this that 2 * 6 = 12.
We will not release such LCMs. Well, if you are doing it then let's take it out.
This won't happen, sir. And whether it will happen or not will happen.
2 * 6 = 12 36 ok now multiply 2 * 2 = 4 and 4 * 9 36 and 36 has to be multiplied by four so 4 * 6 = 24 two left will become 4 * 3 = 12 13 144 9 4 * 9 = 36 36 44 see what has to be done in shortcut you have to pay attention here that how to take LCM quickly tell us which is the biggest? So which one is the biggest? I will take 48. Here we will write 48 in LCM.
Now look it is being cut from 12. It is being cut. Is it or not? And this will be cut by 12.
12 * 3 = three No, it is not coming, right? Yes, so how much do I have to multiply from here? Three 3 * 8 = 24 3 4 12 13 14 Babu did not come like he did here. I am not able to understand what we are saying, the LCM is not to be done outside, you can't see the color LCM, so we will have to teach you the LCM chapter so that we can tell you the complete details, the whole thing, this thing, yes, now it is there, right, did you not do LCM HCF, this class, hey, where will you be, in the olden times, the sages and saints used to reach anywhere by meditating, they would say something like this, it would also hit them, now it is in the form of a snake, they would say, I want an apple, will the apple come or not, so meditation is a very big thing, don't take it lightly, anyone has it, meditation matters, so first of all you have to pay attention that who is bigger here, you have to tell who is bigger than here, 48 is bigger, so we have taken 48 here, now see, this is subtracting from 12, equal to 12, 12 4 8 4 8 4 8 4 8 4 8 4 8 4 8 4 8 40 talking about this If we do this, then this is being subtracted from 12, so we will divide this by 12, so 12 * 3 = 36, three was left, just multiply it by three, it will get easily, 48 was getting divided by 48, here only that much had to be done and nothing else [sound of clearing throat] now let's move ahead, see if we subtract from 12 here, then 12 * 4 = 38 and 4 * 3 = 12, then we will do it with 36, we will subtract from three, so what will be the result after subtracting from three, 12 and 12 * 48 will be four.
48 1 48 is how much it is here? Three. Just what has all this come out of? Capacity. Now look carefully here that we will talk about Group A, Group B and Group C.
How much were these three doing together? 12. Now look at all three from here also.
1 2 3 is. So this becomes 4 3 7. So what do I add to seven to get 12? Are? Five. If we write five here, then we have to tell that by multiplying it, we will get this much, what we need is time, what is time equal to that by multiplying this, what will be your 144 divided by 5, 5 has to be subtracted from five that 5 * 2 = 10, four left 5 * 8 = 40, so 4/5 is in points and it will become 5 * 8 = 40, that's it, the answer is over, is n't it? C will have to be removed. What does this C have to do to you? Will have to remove it. C's was not given. Will come.
A was given four, B was given three. So 4 3 becomes 7. So what will I add to seven to get 12?
What will be the capacity of C? Five. And you know time equals work divided by capacity. Tell me whose is this? So we were talking about C.
End of discussion. If you write LCM like this then it will be late. Isn't it? It will be late and nothing else. Let's move ahead. Isn't it? So what do you want in one line?
Everything gets done faster by the one above. Isn't it?
You can do it from wherever you want speed.
Make it. You will be able to do it. Isn't it? What were you saying? A and B can do a piece of work in 4 days. Meaning, how many days do people do A + B?
Finish it in 4 days. Then he is saying in how many days B and C?
In 5 days.
Then it is written a + c, tell me in how many days? So let's do it in 2 days.
Take its LCM.
20 That's what he's saying. Now pay attention further.
After that what is he saying that right? All three of you together will do that work, this is your 20% work, this is your 20% work. Isn't it? So in how many days will all three together complete 20 works? In how many days will all three, i.e. A, B and C, do it together? You have to understand this.
So understand carefully that look here A is there. And how much is B here? There are two. And how much is C? There are two. Meaning there is 2A here.
2b is what else? This is 2C, this has to be written. Please add everyone.
19, right?
Now look carefully that if there are two in everything here then two will be common. So what I was saying here is that all three together will mean a b and c. What will be the capacity of all this? 19 / 2 means what will be the capacity of a b c? What has happened to multiplying by 19? I ran away. So instead of doing this thing here, what will you do, you will directly add this and how much will it become after adding, it will become 19, if this was done by dividing it by two then how much will it become, two, this is the capacity of all three, right, write it directly 19 / 2, we do not need to write it again and again, we just have to understand and we need all three together, so what do we need of all three, we need time for all three together and time is equal, work divided by capacity will happen.
How much work will be done son? There will be capacity.
Tell me what will happen son? So there will be capacity.
If it is in integer then you can do it in integer also. It will be that long.
Sir, correct answer. Please pay attention here. Isn't that why it is getting divided by 2 here? So why is it 19/2 here? Because he had connected everyone. If a were a pair then it would become 2a, if b were a pair then it would become 2b. They were added by doing this. And then what did you do with the multiplication by taking out the common number from here? Part. You have developed this capability, right?
What have you found out from all three? This is the capability.
What about the three? This is the capability. You can do this directly. Add everything up and divide by two.
Because double double was here, right? Can do. You understood till here, right? Nor should we make it with a basic type of figure. You can make it anyway.
Let's move ahead.
Make it immediately. Same question actually.
You have to hurry up.
What will be 240 B? The answer will be 13.
Do the same thing, what will a + b equal? Whose was given 20 and not b +?
a so how much was given of a + c? 30 is given.
And what was the given value of b + c?
40 was given. Tell me what was its LCM?
What is 120 saying now? Add all three and what will be the total? If 13 and 13 were two, what should be done from here? The part is over. We need time. All three need time. Who needs it? All three need time. And what is time equal to? Work is divided by capacity.
How much will it cost if it goes up? 240 divided by 13 will become all this during the day so it has to be done during the day. You will finish the matter, it is like this [sound of clearing throat] learning it will not be difficult, will it be, there will be 16 different types in total, 12 types, once you learn 12 types then you can make it yourself, whether it is basic, short or one line, you can make it [sound of clearing throat] it is the same.
And whose name is given? of b is given. So tell me what is a plus b? So 12 from here. Then given was given plus go of how much? 15 is given.
Then b plus what is given?
20 was given of Go.
Take the LCM of everyone.
Yes. It will be 10, right? Yes. What is the LCM?
What will be the total if we add 60 12 5?
If we divide 12 by half, what will it become? six. And what do we multiply six by to get 60?
10 12 / 2 because we got to know it, right?
Yes, so if we need time for all three, then you can write it like this, what will be the amount divided by 60, six and 6 will be 60, right? So you can understand here itself what will we multiply six by so that I get 60. 10 Let's move ahead, right? You have to study, do it well, right? Yes Babu, you will have to learn to make each question yourself, right? Yes, try, wherever you get stuck, we have to follow me there.
Ram can do any work in 10 days and Shyam Ram can do it in 15 days separately. So Ram can do it in 10 days and Shyam in how many days?
Now find out what will be its LCM?
Now again he is saying that we will read further and talk about Shyam. Shyam works alone for 3 days. This Shyam, this Shyam, this is a capability, isn't it? So we will write capacity times time.
How much time did you have? 3 days. So tell me how much work have you done in 3 days? So six things have been done. How much work has he done in 3 days? Six works have been done. If he has done six things in three days, then he leaves whatever work is there. What this means is that Shyam leaves after completing six out of 30 tasks.
And after leaving, tell me how much work will be left?
How much work will be left? There was 30 jobs. And after doing the sixth task out of 30, this Shyam runs away.
So how much is left?
24 tasks. Tell me who will do these 24 tasks? So Ram will do it, so here there is three in Ram, so what will we multiply three by, so that it will come to 24, it will have to be multiplied by eight or you can also write it like this that Sir ji efficiency * time equals work and who will do the remaining work, tell me, in how many days will Ram do it, Ram is doing it, we are talking about Ram and what was the capacity of Ram, we needed three times time, so time will be equal to work, so what was the work divided by capacity? It was three.
3 * 8 = 24 so this thing is not to be written.
This also has to be removed gradually. I have to direct it quickly. Isn't it? The sooner you do it, the better it will be for you.
Let's move ahead. Na [sound of clearing throat] make it.
Beans are like that. Tell me how much a day is A doing? Doing it in 25 days. B is completing it in 30 days. Can be done separately in 30 days. So what will be its LCM?
150 25 Now let us read further that A worked for 10 days.
For how many days has A been working?
So tell me how much work would have been done in 10 days, tell me what did you read that capacity times time equals work, right, tell me capacity * time equals work is the same formula, just keep this in mind and you will make it quickly, so how much is the capacity and how much is the time, 10 days, so 60 work has been done, how much work has been done, 60 work and then he is saying that A has done 60 work and then he leaves the work, he leaves the work and goes away, so who will do the remaining work, B will do it, so how much work is left Babu, 60 out of 150 is done, so how much work is left, 90 work is left, how much work is left, tell me 90 is left, oh to do 90 work, what will we multiply by 5 so that it becomes 90, Babu, just 18, just 18, you have to write it in such a way that B's time has to be written equal to 90 / 5 and 5 is 18, you have to leave this thing a little bit immediately What we have to do in this is what should we multiply five with so that it becomes 90 because you know what is equal to capacity * time, you can do the work immediately on its basis, right, tell me what do you have to multiply here? So here you have to multiply by 18. It will be 18, sir. Correct? You will answer like this. Isn't it? Not much. We will talk about total time and work. Isn't it?
Time and work. There is only one formula in this. Capacity * Time equals Work. That means efficiency * time equals work.
And tell me how many types are there in total? So your total type will be 16 16 or 15 type. If you revise this type of question, you will be able to make it yourself and we have typed at least four to five of them.
Now you are left with 10 types and we will learn 10 types in the next class. Isn't it? And then after that you have to do some homework type thing yourself. So you do it. It's easy. Isn't it? And revise all this at home and we will also send some questions to the question group and you have to do it immediately from there.
And you guys don't reply to what we send in the group, are you there or not?
Is? You have to tick there
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