To solve train length problems, first convert speed from km/h to m/s by multiplying by 5/18, then apply the linear motion formula (distance = speed × time) to find the train's length. For example, a 60 km/h train crossing a pole in 9 seconds has a length of 150 meters, calculated as (60 × 5/18) × 9 = 150 m.
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Prerequisite Knowledge
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Deep Dive
Problems on Trains Quick Tips & Tricks to SolveAdded:
Okay, let's dive into this explainer and solve a classic high-speed math mystery together. So, a 60 km/h train crosses a pole in just 9 seconds. How long is it?
Right, we've got two vital clues to crack this case, our speed and our time.
But wait, spot the trap. We've got kilometers per hour clashing directly with seconds. You absolutely cannot multiply hours by seconds. That's exactly why we've got to convert first.
It's simple. Multiply 60 by 5 over 18.
That simplifies to 50 over 3 m/s. Now, this safe converted speed is the totally solid foundation we need for our math.
The crucial next step, we apply our core linear motion formula using those newly aligned units.
So, we just multiply 50 over 3 by our time of 9 seconds. Let's see. The source gives four possible answers, 120, 180, 324, or 150 m. Any guesses? The math brilliantly reveals the definitive length of our train. It's exactly 150 m.
Always stay vigilant, guys. What other tricky unit traps might be hiding in your everyday math?
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