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    Question

    A train crosses a 250-metre-long platform in 18 seconds,

    and a tunnel 60% longer than the platform in 27 seconds. Find the speed of train in km/h.
    A 72 km/hr Correct Answer Incorrect Answer
    B 75 km/hr Correct Answer Incorrect Answer
    C 66 km/hr Correct Answer Incorrect Answer
    D 60 km/hr Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the length and speed of train be ‘l’ metres and ‘x’ m/s, respectively.
    Then, according to question,
    (l + 250)/18 = (l + 400)/27
    3l + 750 = 2l + 800
    l = 50
    l = 50 metres
    x = (l + 250)/18 = 300/18 ×(18/5) = 60 km/h

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