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.	Choose the correct choice from the following answers:
A) 75 meters
B) 60 meters
C) 90 meters
D) 80 meters
E) 70 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   75 metersNSWER:75 meters
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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.