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13. A train travelling with uniform speedcrosses two bridges of lengths 300 m and240 m in 21 sand 18 s, respectively. Findthe speed of the train. [SSC CPO 2011]

Answer»

Let length of the train = L

According to the question,

L+30021=L+24018L+30021=L+24018

=>L+307=L+2406L+307=L+2406

=> 6L + 1800 = 7L + 1680

Therefore, L = 120 m

Taking the length of the 2nd bridge into consideration,

Speed of train =L+24018=120+24018m/sL+24018=120+24018m/s

=36018×185km/h36018×185km/h

= 72 km/h



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