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    Question

    A train 150 meters long crosses a man running in the

    same direction at a speed of 9 km/h in 15 seconds. It then crosses a platform in 25 seconds. Find the length of the platform and the speed of the train.
    A Platform: 175.5 m, Speed: 36 km/h Correct Answer Incorrect Answer
    B Platform: 250 m, Speed: 48 km/h Correct Answer Incorrect Answer
    C Platform: 162.5 m, Speed: 12.5 km/h Correct Answer Incorrect Answer
    D Platform: 300 m, Speed: 15.5 km/h Correct Answer Incorrect Answer

    Solution

    Speed of train relative to man = 150/15 = 10 m/s = 36 km/h.  Speed of train = 36 + 9 = 45 km/h.  Speed = 45 × 5/18 = 25/2 m/s.  Length of platform = (25 × 25/2) - 150 = 162.5 m.  Correct option: c

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