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    Question

    A train takes 22 seconds to pass a tunnel of length 500 m

    and also overtakes a cyclist riding at 8 m/s in the opposite direction in 7 seconds. Determine the train's speed.
    A 32 m/s Correct Answer Incorrect Answer
    B 45 m/s Correct Answer Incorrect Answer
    C 25 m/s Correct Answer Incorrect Answer
    D 37 m/s Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Speed of the train = x m/s

    Length of the train = y m

    x = (y + 500)/22 ---- (1)

    x + 8 = y/7

    7x + 56 = y ---- (2)

    Substitute (2) in (1)

    x = (7x + 56 + 500)/22

    22x = 7x + 556

    x = 37


    Speed of the train = 37 m/s

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