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    Question

    The speed ratio of train A to train B is 3:2, and both

    trains are of equal length. Train A takes x seconds to cross train B when they are moving in the same direction and y seconds when they are moving in opposite directions. If the sum of x and y is 108 seconds, what is the value of (x – y)?
    A 65 seconds Correct Answer Incorrect Answer
    B 72 seconds Correct Answer Incorrect Answer
    C 94 seconds Correct Answer Incorrect Answer
    D 75 seconds Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Speed of train A = 3b Speed of train B = 2b Length of train A = B = a 2a = (5b) * 5/18 * y 36a = 25by ------- (1) 2a = b * 5/18 * x 36a = 5bx ------ (2) From (1) and (2) 25by = 5bx 5y = x x + y = 108 6y = 108 y = 18 seconds x = 90 seconds Required difference = 90 – 18 = 72 seconds

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