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    Question

    A train, which is 195.5 metres long, is running at a speed

    of 66 km/h. It takes 40 seconds to completely cross a platform. Determine the platform’s length.
    A 480.5 m Correct Answer Incorrect Answer
    B 537.7 m Correct Answer Incorrect Answer
    C 436.5 m Correct Answer Incorrect Answer
    D 335.5 m Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the length of the platform be ‘x’ metres

    Speed of the train = 66 × (5/18) = 18.33 m/s

    ATQ,

    (x + 195.5) = 18.33 × 40

    Or, (x + 195.5) = 733.2

    Or, x = 733.2 - 195.5

    Or, x = 537.7

    Therefore, the length of the platform = 537.7 metres

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