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    Question

    Train β€˜A’ running with a speed of 63 km/hr can cross

    a standing goods train of 4 times its length in 24 seconds. Find the time taken by 150 metres long train β€˜B’ which is coming from opposite direction of train β€˜A’, with a speed of 15 m/s, to cross train β€˜A’.
    A 15 seconds Correct Answer Incorrect Answer
    B 5 seconds Correct Answer Incorrect Answer
    C 6 seconds Correct Answer Incorrect Answer
    D 7 seconds 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’ = 63 Γ— (5/18) = 17.5 m/s According to the question, 4x + x = 17.5 Γ— 24 => 5x = 420 => x = 84 Therefore, time taken by train β€˜B’ to cross train β€˜A’ = {(84 + 150)/(24 + 15)} = 6 seconds

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