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Question

A train overtakes two persons who are waling the same direction in which the train is going at the rate of 2 kmph and 4 kmph and passes the completely in 9 and 10 seconds respectively. The length of the train is

A
72 m
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B
54 m
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C
50 m
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D
45 m
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Solution

The correct option is C 50 m
2 kmph=(2×518) m/sec=59 m/sec and 4 kmph=109m/sec.Let the length of the train be x meters and let be y~m/sec.Then,x(y59)=9 and xy109=10.9y5=x and 10(9y10)=9x.9yx=5 and 90 y9x=100On solving we get x=50.Length of the train is 50 m.

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