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    Question

    A train with 12 compartments of equal length takes 30

    seconds to cross a pole and 40 seconds to cross a 240-metre-long platform. If 6 compartments of the train are removed, then how long would it take to cross a pole?
    A 12 seconds Correct Answer Incorrect Answer
    B 18 seconds Correct Answer Incorrect Answer
    C 24 seconds Correct Answer Incorrect Answer
    D 15 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 30 seconds = ‘d’ metres
    Distance covered by the train in 40 seconds = (d + 240) metres
    So, distance covered in (40 – 30) = 10 seconds = (d + 240 – d) = 240 metres
    So, speed of the train = 240 ÷ 10 = 24 m/s
    So, original length of the train = 24 × 30 = 720 metres
    After removing 6 compartments, length of the train = 720 × (6/12) = 360 metres
    So, required time taken = 360 ÷ 24 = 15 seconds

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