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    Question

    A train crosses a 500-metre-long platform in 30 seconds,

    and the same train crosses a tunnel that is 20% longer than the train itself in 42 seconds. Find the speed of the train in km/h.
    A 144 km/hr Correct Answer Incorrect Answer
    B 150 km/hr Correct Answer Incorrect Answer
    C 180 km/hr Correct Answer Incorrect Answer
    D 200 km/hr Correct Answer Incorrect Answer
    E 165 km/hr 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 + 500)/30 = 2.2l/42
    42l + 21000 = 66l
    24l = 21000
    l = 875 metres
    x = (l + 500)/30 * (18/5) = 165 km/h

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