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    Question

    A train overtakes a scooterist who is moving in the same

    direction at 36 km/h. If the train takes 18 seconds to pass the scooterist and its speed is 2.5 times that of the scooter, what is the length of the train?
    A 270 m Correct Answer Incorrect Answer
    B 265 m Correct Answer Incorrect Answer
    C 300 m Correct Answer Incorrect Answer
    D 225 m Correct Answer Incorrect Answer

    Solution

    ATQ,

    Speed of the scooter = 36 × (5/18) = 10 m/s

    So, speed of the train = 10 × 2.5 = 25 m/s

    Let the length of the train be 'x' metres

    ATQ:

    x / (25 - 10) = 18

    So, x = 270

    Length of the train = 270 metres

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