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    Question

    Train β€˜A’ running with a speed of 90 km/hr can cross

    a standing goods train of 4 times its length in 22 seconds. Find the time taken by 310 metres long train β€˜B’ which is coming from opposite direction of train β€˜A’, with a speed of 20 m/s, to cross train β€˜A’.
    A 8 seconds Correct Answer Incorrect Answer
    B 5 seconds Correct Answer Incorrect Answer
    C 14 seconds Correct Answer Incorrect Answer
    D 10 seconds Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the length of train β€˜A’ be β€˜x’ metres Therefore, length of the goods train = β€˜4x’ metres Speed of train β€˜A’ = 90 Γ— (5/18) = 25 m/s According to the question, 4x + x = 25 Γ— 22 => 5x = 550 => x = 110 Therefore, time taken by train β€˜B’ to cross train β€˜A’ = {(110 + 310)/(22 + 20)} = 10 seconds

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