A train 120 m long travelling at 45 km/hr overtakes another train travelling in the same direction at 36 km/hr and passes it completely in 8

Question

A train 120 m long travelling at 45 km/hr overtakes another train travelling in the same direction at 36 km/hr and passes it completely in 80 seconds.Find the length of the SECOND train​

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Melody 1 month 2021-08-20T04:29:35+00:00 1 Answer 0 views 0

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    2021-08-20T04:31:02+00:00

    Let the length of second train be x meter.

    Relative speed = (90 – 72 ) x 5/18 = 18 x 5/18 = 5 m /sec.

    Time =  ( 120 + x )/5

    ⇒ 50 x 5 = 120 + x

    ⇒ x = 250 – 120

    ∴ x = 130.

    So the length of second train = 130 m.

    In opposite direction

    Relative speed = 90 + 72 = 162 x  5/18 = 45 m/sec.

    Time taken to cross = 250/45 = 50/9 sec..

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