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    A 300 m long train crosses a platform which is five times of its length, in 7 minutes 40 sec. What is the speed of the train?
    Question

    A 300 m long train crosses a platform which is five times of its length, in 7 minutes 40 sec. What is the speed of the train?

    A.

    21923m/sec2\frac{19}{23}m/sec​​

    B.

    11723m/sec1\frac{17}{23}m/sec​​

    C.

    32123m/sec3\frac{21}{23}m/sec​​

    D.

    21723m/sec2\frac{17}{23}m/sec​​

    Correct option is C

    Given:

    Length of first train = 300m

    Length of platform = 5 times of train

    Time taken = 7 min 40sec

    Formula Used:

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

    Solution:

    Length of platform = 5 × \times  300 = 1500m

    Distance to cross = Length of first train + Length of platform   = 300  + 1500 = 1800m

    Time in seconds = 7× \times​ 60 + 40 = 420 + 40 = 460 sec

    Speed = 1800460=9023=32123m/sec \frac{1800}{460} = \frac{90}{23}= 3\frac{21}{23}m/sec​​

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