# Assignment On Trains

**SOME PROBLEMS ON TRAINS**

1.A train 110 m in length runs through a station at the rate of 36 km per hour. Howe long will it take to pass a given point?

2.A train 135 m long is running with a speed of 54 km per hour. In what time will it pass a telegraph post?

3.A column of men, extending 250 m in length takes one hour to march through a street at the rate of 50 paces a minute, each pace being 75 cm. Find the length of the street.

4.It is noticed that exactly half a minute elapses between the time when the engine of a train 50 m long enters a tunnel 500 m long and the time when the last carriage of the train leaves the tunnel. Find at how many km per hour the train is traveling?

5.Two trains 132 meters and 108 meters in length are running towards each other on parallel lines, one at the rate of 32 km/hr and another at 40 km/hr. In what time will they be clear of each other from the moment they meet?

6.A train 100 meters long takes 71/5 second to cross a man walking at the rate of 5 km/hr in a direction opposite to that of the rain. Find the speed of the train.

7.A train 110 meters in length travels at 60 km per hour. In what time will it pass a man who is walking in the same direction at 6 km an hour?

8.Two trains 70 m and 80 m long respectively, run at the rates of 68 km and 40 km an hour respectively on parallel rails in the same direction. How long do they take to pas each other?

9.Two trains are moving in the same direction at 33 km/hr and 24 km/hr. The faster train crosses a man in the slower train in 12 seconds. Find the length of the faster train.

10. Two trains are moving in the same direction at 50 km/hr and 32 km/hr. The faster train crosses a man in the slower train in 10 seconds. Find the length of the faster train.

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