When two people work together on a task, their combined work rate is calculated using the formula (A × B) / (A + B), where A and B are the individual times each person takes to complete the task alone. For example, if one person can complete a task in 3 hours and another in 5 hours, working together they will complete it in 15/8 hours (approximately 1.875 hours), which is faster than either person working alone.
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The Amherst Baseball Team - Little Big League.Added:
Still doing your homework, kid?
Yeah.
You know, we got a relatively big game today, kid.
Yeah, well, I got a relatively big math due. Can't have this hanging over my head.
Mhm.
Math, huh?
I heard it helps if you write things down.
>> [music] >> You've worked all season long and now it comes down to this. [music] You wonder what goes through the minds of the players and coaches in high-pressure situations like these.
If Joe can paint a house in 3 hours and Sam can paint the same house in 5 hours, how long does it take for them to do it together?
Wait a minute.
You never said this was a work problem.
Sully, come over here.
So, coach.
If I can paint a house in 3 hours and you can paint a house in 5, how long will it take us to paint it together?
Logan.
Takes me 3 hours to paint a house, takes you 5. How long to do it together?
What color paint?
It's times like this the [music] veterans really have to step up and lead the young guys. The young guys that haven't been here before.
It's simple. 5 * 3, so that's 15.
No, no, no.
Takes 8 hours. 5 + 3.
That's 8.
Ah, man, check it out. It's one two of them.
That equals 4 hours.
I should know this.
My uncle's a painter.
Why don't they just get a house that's already painted?
You know, maybe there is no answer.
Maybe it's one of those trick questions.
Ever think about that?
Uh I don't know. I mean, A sounds good to me.
But there's two of them. Come on, there's two of them.
Fellas, fellas, fellas, fellas, fellas.
La Marquand, if you please. Thank you.
Using the simple formula A * B over A + B, we arrive at the simple answer of 1 and 7/8.
Wow. Are you sure? Ho ho ho, but of course my diminutive leader. Long have I been familiar with the exactitudes of the mathematical world. And coach, the horse's name is Friday.
Well, uh great. Now that the pressure's off, let's go win a ball game. What?
Let's go. Let's do it.
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