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    Question

    A train crosses a man in 12 seconds and a platform 480

    meters long in 36 seconds. Calculate the time (in seconds) it takes for the train to overtake a bike moving at 27 km/h in the same direction as the train.
    A 19.2 s Correct Answer Incorrect Answer
    B 21.4 s Correct Answer Incorrect Answer
    C 22 s Correct Answer Incorrect Answer
    D 23.5 s Correct Answer Incorrect Answer
    E 26.4 s Correct Answer Incorrect Answer

    Solution

    Let the speed of the train be x m/s, and the length of the train be y m. When it crosses a man Distance = speed × time taken Y = 12x Now when it crosses the platform (y+480) = 36x From these two equations Y = 240 m, and x = 20m/s Now when it crosses the bike Speed of bike = 27×5/18 = 15/2 m/s Now 240 = (20-15/2) × time Time = 240×2/25 Time = 19.2 s

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