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    Question

    Train 'A' takes 36 seconds to pass a boy standing on a

    platform, moving at a speed of 15 m/sec. The speeds of trains 'A' and 'B' are in the ratio of 5:6, and train 'B' is 372 meters longer than train 'A'. What is the time taken by both trains to cross each other when they are running in opposite directions?
    A 48 seconds Correct Answer Incorrect Answer
    B 40 seconds Correct Answer Incorrect Answer
    C 56 seconds Correct Answer Incorrect Answer
    D 44 seconds Correct Answer Incorrect Answer
    E 50 seconds Correct Answer Incorrect Answer

    Solution

    Length of train 'A' = 15 X 36 = 540 metres The length of train 'B' = 540 + 372 = 912 metres Speed of train 'B' = 15 X (6/5) = 18 m/s Relative speed of train 'B' w.r.t train 'A' when travelling towards each other: = 15 + 18 = 33 m/s Therefore, required time = (540 + 912) ÷ 33 = 44 seconds

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