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    Find the time taken by a train 750 m long to cross a platform twice its length at a speed of 81 km/h.
    Question

    Find the time taken by a train 750 m long to cross a platform twice its length at a speed of 81 km/h.

    A.

    80sec

    B.

    90sec

    C.

    100sec

    D.

    75sec

    Correct option is C

    Given:

    Length of first train =750m

    Length of platform =2 times of train

    Speed of train = 81km/hr

    Formula Used:

    Time =DistanceSpeed \frac{Distance}{Speed}​​

    Solution:

    Length of platform = 2×750=1500m2 \times 750 =1500m​​

    Distance to cross = Length of first train + Length of platform   = 750 +1500 =2250m

    Speed  in m/sec = 81×518=452=22.5 m/sec81 \times \frac{5}{18} = \frac{45}{2}=22.5 \ m/sec​​

    Time taken to cross platform = 225022.5=100 seconds\frac{2250}{22.5} = 100 \ seconds​​

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