Problems on Trains
- 1. A train 240 m long passes a bridge 120 m long in 24 sec. Find the speed with which the train in moving?
Options- A. 45 km/hr.
- B. 54 km/hr.
- C. 36 km/hr.
- D. 42 km/hr. Discuss
Correct Answer: 54 km/hr.
Explanation:
Required speed = (240 + 120) / 24 = 15 m/sec
= 15 x (18/5) km/hr = 54 km/hr
- 2. A train 50 m long passes a platform 100 m long in 10 seconds. The speed of the train in m/sec is?
Options- A. 150
- B. 50
- C. 10
- D. 15 Discuss
Correct Answer: 15
Explanation:
Speed of train = distance covered / time.
= (50 + 100) / 10
= 15 m/sec.
- 3. A train 110 m long travels at 60 km/hr. How long does it take to cross a platform 240 metres long?
Options- A. 21 sec
- B. 20 sec
- C. 18 sec
- D. 24 sec Discuss
Correct Answer: 21 sec
Explanation:
Distance covered = 110 + 240 = 350 m
Speed = 60 km/ph = 60 x (5/18) m/s = 50/3 m/sec.
Time = distance / speed = 350 x 3 / 50 = 21 sec.
- 4. A train 110 metres in length travels at 60 km/hr.In what time will it pass a man which is walking against the train at 6 km an hour?
Options- A. 71/3 seconds
- B. 6 seconds
- C. 62/3 seconds
- D. Data inadequate Discuss
Correct Answer: 6 seconds
Explanation:
? Relative speed of the train = 60 + 6 = 66 km/hr
= 66 x 5/18 m/sec = 55/3 m/sec
? Required time = 110 x (3/55) = 6 sec
- 5. 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 opposite directions. How long do they take to pass each other?
Options- A. 5 seconds
- B. 10 seconds
- C. 12 seconds
- D. 6 seconds Discuss
Correct Answer: 5 seconds
Explanation:
Total distance = 70 + 80 = 150 m
Relative speed = 68 + 40 = 108 kmph = 108 x (5/18) = 30 m/s
So time taken = 150 / 30 = 5 seconds.
- 6. A person see a train passing over 1 km long bridge. The length of the train is half that of bridge. If the train clears the bridge in 2 minutes the speed of the train is?
Options- A. 50 km/hr
- B. 45 km/hr
- C. 60 km/hr
- D. 30km/hr Discuss
Correct Answer: 45 km/hr
Explanation:
Distance covered in 2/60 hours = (1 + 1/2) = 3/2 km
Distance covered in 1 hour = (3/2) x (60/2) = 45 km
So, speed of the train = 45 km/hr
- 7. A train 50 meters long passes a platform 100 m long in 10 second. The speed of the train is?
Options- A. 10 km/hr
- B. 15 km/hr
- C. 54 km/hr
- D. 100 km/hr Discuss
Correct Answer: 54 km/hr
Explanation:
Distance covered by train in 10 sec = (50 + 100) = 150 m
? Speed = 150/10 m/sec = 15 x (18/5) = 54 km/hr
- 8. A train covers 90 m in passing a standing man. Find the length of the train.
Options- A. 20 m
- B. 87 m
- C. 71 m
- D. 90 m Discuss
Correct Answer: 90 m
Explanation:
We know that, the distance covered by a train in passing a pole or a standing man or a signal post or any other object (of negligible length) is equal to the length of the train.
In this case, train covers 90 m to cross a standing man.
? Length of the train = 90 m
- 9. A 220 m long train passes a signal post in 12 s. Find the speed f the train.?
Options- A. 72 km/h
- B. 60 km/h
- C. 66 km/h
- D. 69 km/h Discuss
Correct Answer: 66 km/h
Explanation:
We know that,
Speed = Distance/ Time
Speed of the train = 220/12 x (18/5) km/h
- 10. A 240 m long train crosses a platform of equal length in 27 s. What is the speed of the train in km/h?
Options- A. 48
- B. 60
- C. 56
- D. 64 Discuss
Correct Answer: 64
Explanation:
By the formula, speed= Distance/ Time
= (240 + 240)/27 x (18/5)
= 480/27 x 18/5 = 64 km/h
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