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What is the length of the train ?

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A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 sec respectively.

What is the length of the train ?

posted Dec 18, 2014 by Pankaj Deshmukh

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1 Answer

+1 vote

4kmph= 10/9 m/s
2kmph= 5/9 m/s
Let speed of train be s.
Relative speed × time = length of train
(s - 10/9) × 10= length

Also
(s - 5/9) × 9 = length

(s - 10/9) × 10 = (s - 5/9) × 9
s = 55/9

Length = (s - 10/9) × 10
= 50 metres

Ans: length of train is 50 metres

answer Dec 18, 2014 by Swapnil Morankar



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