A train overtakes two persons who are walking in the same direction in which the train is going at t...........

Quantitative Aptitude (CDS) Problems on trains

A train overtakes two persons who are walking in the same direction in which the train is going at the rate of 2km/h and 4km/h and passes them completely in 9 and 10 seconds. The length of the train is?

50 m

490 m

55 m

58 m

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Explanation:

let the length of the train is d metre
t1=9,t2=10
man walking speed is (20/36) m/s ,(40/36) m/s
time=distance/time, t=d/v
t1=d(36)/36v-20,t2=d(36)/36v-40
9=36(d)/36v-20 , 10=(d)36/36v-40
324v-180=36d -equation1
360v-400=36d - equation2
solving equation 1 and equation2
36v=220
v=55/9 m/s
putting this value in equation1
d=55 m