Two trains of length 250 m and 150 m are running in the same direction at a rate of 32 km/hr and 50 km/hr. How long will they take to cross each other?

40sec

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32sec

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60sec

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80sec

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Solution

The correct option is D
80sec

Time = Distance traveled / Speed

Here, distance = Sum of the lengths of the two trains = 250 m + 150 m = 400 m

And, speed here is the relative speed between two trains = 50 km/hr - 32 km/hr (as they are moving in the same direction) = 18 km/hr

We have to convert this relative speed into m/s, so, $18 \times \frac{5}{18} = 5 m / s$

So, time taken =400/5 = 80 seconds

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