#### A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:

Explanation: Speed of the train relative to man = (125/10)m/sec = (25/2)m/sec. = (25/2 x 18/5) km/hr = 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr. x - 5 = 45 x = 50 km/hr.

#### A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?

#### A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?

Speed= (60 x 5/18) m/sec = (50/3) m/sec Length of the train = (Speed x Time). Length of the train = (50/3x 9) m = 150 m.