Question

Two trains running in opposite directions cross a pole in 43 seconds and 27 seconds respectively and cross each other in 37 seconds. What is the ratio of their speeds?

• A. 4 : 5
• B. 5 : 3
• C. 5 : 6
• D. 7 : 5

Answer 1

Answer:

B. 5 : 3

Let the speed of the trains be x and y m/s Length of first train = 43x length of second train = 27y meters Since the trains run in opposite directions, their relative speed = (x + y) m/s (43x + 27y)/(x + y) = 37 ⇒ 43x + 27y = 37x + 37y ⇒ 6x = 10y ⇒ 10 : 6 ⇒ 5 : 3