Latest Patni Aptitude Question SOLUTION: A train traveling at 42 kms/ hr passes a cyclist going in the same direction in 9 secs. If the cyclist had been going in the opposite direction, the train would have passed him in

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A train traveling at 42 kms/ hr passes a cyclist going in the same direction in 9 secs. If the cyclist had been going in the opposite direction, the train would have passed him in 5 secs. Find the length of the train.

a) 75 meters b) 60 meters c) 90 meters d) 80 meters

Asked In Patni (12 years ago)

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Sanjana Patnaik  (12 years ago)

Ans: 75 meters
Let the length of the train be x meter
and the speed of the cyclist is y m/s
Now when the train and the cyclist are in the same direction, the relative speed is :(35/3-y)m/s[converting 42km/h to m/s-35/3m/s]
Now distance/relative speed =9 seconds
Substituting the values, we get x+9y.....................(1)
Similarly calculate the relative speed when they are in the opposite direction
The relative speed is (35/3+y)
Now distance/relative speed is equivalent to 5 seconds
Substituting the values, we get the equation
3x-15y=175.................................(2)
Solving (1) and (2), we get x=75 meters

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Nandan Kumar  (8 years ago)

a 75meters

Is this solution Helpfull? Yes | No (1)  

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