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    A train crosses a platform 90 metres long in 60 seconds at a speed of 54" " km/h. Find the time the train will take to cross an electric pole.
    Question

    A train crosses a platform 90 metres long in 60 seconds at a speed of 54" " km/h. Find the time the train will take to cross an electric pole.

    A.

    58 seconds

    B.

    54 seconds

    C.

    48 seconds

    D.

    60 seconds

    Correct option is B

    Given:
    Length of the platform = 90 meters
    Speed of the train = 54 km/h
    Time to cross the platform = 60 seconds

    Solution:

    Convert speed from km/h to m/s:
    Speed in m/s = 54×518=15m/s54 ×\frac{5}{18} = 15 m/s 

    Total distance = Length of the train + Length of the platform
    Distance = Speed × Time
    Length of the train + 90 = 15 × 60 = 900
    Length of the train = 900 - 90 = 810 meters

    The time to cross an electric pole:
    Time = DistanceSpeed\frac{Distance}{Speed}

    Time = 81015\frac{810}{15}= 54 Second

    Thus the correct answer (B)

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