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    Question

    A train travelling at the speed of 72 km/hr crosses

    another train, having 40 meters less length and travelling in opposite direction at the speed of 54 km/hr in 6 seconds. If the longer train crosses a platform in 14 seconds, then the shorter train will cross the same platform in how many seconds?
    A 14 seconds Correct Answer Incorrect Answer
    B 15 seconds Correct Answer Incorrect Answer
    C 16 seconds Correct Answer Incorrect Answer
    D 17 seconds Correct Answer Incorrect Answer

    Solution

    Speed of longer train = 72 × (5/18) = 20 m/s
    Speed of shorter train = 54 × (5/18) = 15 m/s

    Let length of longer and shorter trains be ‘L’ meters and (L – 40) metres, respectively.

    According to question,

    L + L – 40 = (20 + 15) × 6 = 210

    2L – 40 = 210

    L = 125 metres

    So, L – 40 = 85 metres

    Let length of platform is ‘P’ metres

    So, P + 125 = 20 × 14 = 280

    P = 280 – 125 = 155 meters

    Desired time = (155 + 85)/15 = 240/15 = 16 seconds

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