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    Question

    A train can cross a bridge and a pole in 6 seconds and 3.6

    seconds respectively. The length of the bridge is 60 metres. Find the time taken by train to cross a scooter which is running in the same direction with a speed of 15 m/sec.
    A 10 seconds Correct Answer Incorrect Answer
    B 12 seconds Correct Answer Incorrect Answer
    C 9 seconds Correct Answer Incorrect Answer
    D 8 seconds Correct Answer Incorrect Answer

    Solution

    Let the length and the speed of the train be 'x' metres and 'y' m/sec respectively.
    When it crosses the bridge,
    Or, {(x + 60) / y} = 6.................(I)
    When it crosses the pole,
    Or, (x / y) = 3.6
    So, x = 3.6y............(II)
    Or, 3.6y + 60 = 6y
    Or, 60 = 2.4y
    So, y = (60 / 2.4) = 25 m/sec
    And x = 25 × 3.6 = 90 metres
    So, relative speed of the train w.r.t. the scooter = 25 - 15 = 10 m/sec
    So, required time = (90 / 10) = 9 seconds

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