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Question

A train passes a station platform in 40 seconds and a man standing on the platform in 24 seconds. If the speed of the train is 58 km/hr, what is the length of the platform?

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Answer- A

Speed = 58 x 5/18 m/sec = 145/9 m/sec.

Length of the train = (145/9) x 24m = 386.6 m.

Let the length of the platform be x meters.

Then, (x + 386.6)/40 = 145/9

9x + 3480 = 5800

9x = 2320

x = 257.7 m.