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    Question

    A train with 16 compartments of equal length takes 32

    seconds to cross a pole and 40 seconds to cross a 160-metre-long platform. If 8 compartments are removed, then how long would it take to cross a pole?
    A 16 seconds Correct Answer Incorrect Answer
    B 18 seconds Correct Answer Incorrect Answer
    C 14 seconds Correct Answer Incorrect Answer
    D 12 seconds Correct Answer Incorrect Answer
    E 20 seconds Correct Answer Incorrect Answer

    Solution

    Let the original length of the train = ‘d’ metres
    Then, distance covered by the train in 32 seconds = ‘d’ metres
    Distance covered by the train in 40 seconds = (d + 160) metres
    So, distance covered in (40 – 32) = 8 seconds = (d + 160 – d) = 160 metres
    So, speed of the train = 160 ÷ 8 = 20 m/s
    So, original length of the train = 20 × 32 = 640 metres
    After removing 8 compartments, length of the train = 640 × (8/16) = 320 metres
    So, required time taken = 320 ÷ 20 = 16 seconds

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