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 seconds respectively. Find the length of the train ?
Answer with explanationAnswer: Option B
First person speed = 2*(5/18) = 5/9 m/sec
Second person speed = 4*(5/18) = 10/9 m/sec
Let the length of the train is x meter and speed is y m/sec
xy−59=9=>9y−5=x=>9y−x=5.....(i)Also,xy−109=1090y−9x=100.....(ii)from (i) and (ii),
(i)Also,xy−109=1090y−9x=100…..(ii)from (i) and (ii), we get,x=50
So the length of the train is 50 meter.
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