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Problems on Trains – Aptitude Train Problems for Competitive Exams

1. Two trains are running in opposite directions with the same speed. If the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train (in km/hr) is:
A. 10
B. 18
C. 36
D. 72
2. Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. lf the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
B. 12 sec
D. 20 sec
A. 10 sec
C. 15 sec
3. A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is:
A. 48 km/hr
B. 54 km/hr
C. 66 km/hr
D. 82 km/hr
4. Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 seconds. What is the length of the fast train?
A. 23 m
B. 23(2/9) m
D. 29 m
C. 27 (7/9) m
5. A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 km/ph and 4 km/ph and passes them completely in 9 and 10 seconds respectively. The length of the train is:
D. 72 m
A. 45 m
B. 50 m
C. 54 m

6. A train travelling at a speed of 75 mph enters a tunnel 3(1/2) miles long. The train is (1/4) mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
A. 2.5 min
B. 3 min
C. 3.2 min
D. 3.5 min
7. A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is:
A. 130
B. 360
C. 500
D. 540
8. A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
A. 320 m
B. 350 m
C. 650 m
D. Data inadequate
9. A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
A. 50 m
B. 150 m
C. 200 m
D. Data inadequate
10. A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train?
A. 69.5 km/hr
B. 70 km/hr
C. 79 km/hr
D. 79.2 km/hr
11. How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
D. 45sec
C. 40sec
A. 25 sec
B. 30sec
12. Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.
A. 12 sec
B. 24 sec
C. 48 sec
D. 60 sec

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