Two trains 190 m and 170 m long are going in the same direction The faster train takes one minute to...........

Quantitative Aptitude ( CCS) Problems on trains

Two trains, 190 m and 170 m long are going in the same direction. The faster train takes one minute to pass the other completely. If they are moving in opposite directions, they pass each other completely in 3 seconds. Find the speed of each train.

55 m/sec. and 42 m/sec.

63 m/sec. and 57 m/sec.

60 m/sec. and 55 m/sec.

42 m/sec. and 40 m/sec.

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Explanation:

Solution:
let the speed of the faster train be x and the speed of the slower train be y . Then, When they move in the same direction , the relative speed = (x – y)
Total distance = 190 + 170 = 360 m
Now, dist. = speed * time = 360 = (x-y)*60
=> (x – y) = 6———-(1)
When the trains move in opposite direction = (x+y)
360= (x + y)*3
=> 120 =(x + y) ———–(2)
On solving (1) and (2), we get
x = 63 m/sec. and y = 57 m/sec.