Question

    Train ‘A’ running with a speed of 54 km/hr can cross

    a standing goods train of 4 times its length in 30 seconds. Find the time taken by 310 metres long train ‘B’ which is coming from opposite direction of train ‘A’, with a speed of 20 m/s, to cross train ‘A’.
    A 5 seconds Correct Answer Incorrect Answer
    B 16 seconds Correct Answer Incorrect Answer
    C 8 seconds Correct Answer Incorrect Answer
    D 12 seconds Correct Answer Incorrect Answer
    E 4 seconds Correct Answer Incorrect Answer

    Solution

    Let the length of train ‘A’ be ‘x’ metres Therefore, length of the goods train = ‘4x’ metres Speed of train ‘A’ = 54 × (5/18) = 15 m/s According to the question, 4x + x = 15 × 30 => 5x = 450 => x = 90 Therefore, time taken by train ‘B’ to cross train ‘A’ = {(90 + 310)/(30 + 20)} = 8 seconds

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