A train crosses a tree in 20 seconds and a man cycling at 5 kmph in the opposite direction in 18 sec...........

Quantitative Aptitude ( CCS) Problems on trains

A train crosses a tree in 20 seconds and a man cycling at 5 kmph in the opposite direction in 18 seconds. What is the length of the train?

1/4 of a km

1/3 of a km

3/10 of a km

2/5 of a km

Let the speed of the train be x kmph and length of train = L Km.
L = 18x.

Also, cycle is in opposite direction

Relative speed = x + 5
So 18/(60x60) = L/x+5 →x+5 → 200L = 180L + 5

L=1/4km

Hence, option 1 is the correct answer.

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