Two trains are moving in opposite direction having speed in the ratio 5 7 First train crosses a pole...........

Quantitative Aptitude ( CCS) Problems on trains

Two trains are moving in opposite direction having speed in the ratio 5:7. First train crosses a pole in 12 second and second train crosses the same pole n 15 second. Find the time in which they can cross each other completely?

55/4 sec

53/4 sec

57/4 sec

59/4 sec

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Explanation:

Let the length of first train and second train be a and b meter. Then
a = 5x*12 = 60x and b = 7x*15 = 105x
They are moving in opposite direction, 165x = (12x)*T
T = 165/12 = 55/4 sec