Two trains of equal lengths are running on parallel tracks in the same direction at the speeds of 58 km/h and 48 km/h, respectively. The faster train passes the slower train in 54 sec. The length of each train is

Let the length of each train be x metres.

Then, the total distance covered by the faster train in 54 sec = (x + x) = 2x m

Relative speed = (58 - 48) km/h

                      = 10 km/h                                           = (10 * 5)/18 m/s (since both trains are moving in the same direction)

Hence, time = distance/speed

54 = 2x/(50/18)

54 = (2x * 18)/50

x = (54 * 50)/(18 * 2)

x = 3 * 25 x = 75 m

It is the correct answer.