1. A train running at the speed of 72 km/hr crosses a pole in 25 seconds. What is the length (in metres) of the train?
A) 600 B) 500 C) 400 D) 200 E) 250
Length of the train = (Speed × Time)
= 20m /sec × 25sec
= 500 m
Ans: B
2. The length (in metres) of the bridge, which a train 150 metres long and travelling at 54 km/hr can cross in 45 seconds, is:
A) 576 B) 625 C) 525 D) 575 E) 369
150 + x = 675
x = 675 − 150 = 525 m
Hence, The length of the bridge is 525 metres.
Ans: C
3. Two trains running in opposite directions cross a man standing on the platform in 38 seconds and 25 seconds respectively and
they cross each other in 30 seconds. The ratio of their speeds is:
A) 5 : 8 B) 7 : 9 C) 8 : 11 D) 3 : 5 E) 7 : 12
Sol: Let the speeds of the two trains be x m/sec and y m/sec respectively.
Then, length of the first train = 38x metres,
length of the second train = 25y metres.
Ans: A
4. A train passes a station platform in 45 seconds and a man standing on the platform in 30 seconds. If the speed of the train is 72 km/hr, what is the length (in metres) of the platform?
A) 300 B) 450 C) 550 D) 500 E) 200
600 + x = 900
x = 300 m
Ans: A
5. A train 350 m long passes a pole in 35 seconds. How long (in seconds) will it take to pass a platform 560 m long?
A) 78 sec B) 65 sec C) 102 sec D) 91 sec E) 95 sec
Ans: D
6. A train 400 m long is running at a speed of 90 km/hr. In what time will it pass a bridge 200 m long?
A) 15 sec B) 26 sec C) 35 sec D) 24 sec E) 30 sec
Ans: D
7. Two trains are moving in opposite directions at 40 km/hr and 60 km/hr. Their lengths are 2 km and 3 km respectively. The time taken (in seconds) by the slower train to cross the faster train in seconds is:
A) 100 sec B) 180 sec C) 240 sec D) 360 sec E) 450 sec
Sol: Relative speed = (40 + 60) = 100 km/hr
Distance covered = (2 + 3) = 5 km
Ans: B
8. A jogger running at 4 kmph alongside a railway track 300 metres ahead of the engine of a 150 metres long train running at 58 kmph in the same direction. In how much time will the train pass the jogger?
A) 35 sec B) 30 sec C) 45 sec D) 40 sec E) 50 sec
Sol: Speed of train relative to jogger = (58 − 4)
= 54 km/hr.
Ans: B
9. A goods train runs at the speed of 90 kmph and crosses a 300 m long platform in 20 seconds. What is the length of the goods train?
A) 150 metres B) 450 metres C) 300 metres D) 200 metres E) 250 metres
Ans: D
10. Two trains 200 m and 250 m long run at the speed of 60 km/hr and 48 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:
A) 15 sec B) 20 sec C) 10 sec D) 35 sec E) 5 sec
Ans: A
11. A train 160 metres long is running with a speed of 67 kmph. In what time will it pass a man who is running at 5 kmph in the direction opposite to that in which the train is going?
A) 15 sec B) 11 sec C) 8 sec D) 10 sec E) 12 sec
Ans: C
