Problems on Trains
- 1. A train moving at the rate of 36 km per hour crosses a standing man in 10 seconds. It will cross a platform 55 meters long in?
Options- A. 51 / 2 seconds
- B. 6 seconds
- C. 71 / 2 seconds
- D. 151 / 2 seconds Discuss
Correct Answer: 151 / 2 seconds
Explanation:
speed of train = 36 x (5/18) = 10 m/sec.
Let the length of the train be L meters
Then, L/10 = 10
? L = 100 meters.
? Time taken to cross the platform = (100 + 55) / 10 = 151/2 sec.
- 2. A train crosses a platform 100 metres long in 60 seconds at a speed of 45 km per hour. The time taken by the train to cross an electric pole is?
Options- A. 8 seconds
- B. 1 minute
- C. 52 seconds
- D. Data inadequate Discuss
Correct Answer: 52 seconds
Explanation:
Let the length of train = L metres
Speed of train = 45 x (5/18) = 25/2 m/sec.
Distance covered in crossing the platform = (L + 100) m
? (L + 100) x (2/25) = 60
? 2L + 200 = 1500
? L = 650.
Now, time taken to cross the pole = 650 x (2/25) = 52 sec.
- 3. Two trains of equals length are running on parallel line in the same direction at the rate of 46 kmph and 36 kmph. The faster train passes the slower train in 36 seconds. The length of each train is?
Options- A. 50 metres
- B. 72 metres
- C. 80 metres
- D. 82 metres Discuss
Correct Answer: 50 metres
Explanation:
Let the length of each train = L metres
Relative speed = (46 - 36) = 10 km/hr. = 10 x (5/18) = 25/9 m/sec
Distance covered in crossing = (L + L) = 2L metres
? 2L x (9/25) = 36
? L = (25 x 36)/(2 x 9) = 50 metres.
- 4. Two trains 132 metres and 108 metres long are running in opposite directions, one at the rate of 32 kmph and another one at the rate of 40 kmph. From the moment they meet they will cross each other in?
Options- A. 10 seconds
- B. 11 seconds
- C. 12 seconds
- D. 13 seconds Discuss
Correct Answer: 12 seconds
Explanation:
Relative speed of both trains = (32 + 40) = 72 km/hr = 72 x (5/18) = 20 m/sec
Distance covered in crossing each other = 132 + 108 = 240 m
? Required time = 240/20 = 12 sec.
- 5. A train 300 m long crossed a platform 900 m long in 1 minute 12 seconds. The speed of the train in km/hr was?
Options- A. 45
- B. 50
- C. 54
- D. 60 Discuss
Correct Answer: 60
Explanation:
Distance covered in 72 sec. = 300 + 900 m
? Speed = 1200/72 = 50/3 m/sec. = 60 km/hr .
- 6. How long will a train 130 m long travelling at 40 km an hour, take to pass a kilometer stone?
Options- A. 12 sec
- B. 11.7 sec
- C. 11.2 sec
- D. 11 sec Discuss
Correct Answer: 11.7 sec
Explanation:
Total distance = 130 m = 0.13 km
Speed of the train = 40 km /hr
Time taken = 0.13/40 hr = (0.13 x 60 x 60) / 40 = 11.7 sec.
- 7. A train travelling at 30 km an hour took 13 1/ 2 sec in passing a certain point. Find the length of the train?
Options- A. 113 metres
- B. 112 metres
- C. 112.5 metres
- D. None of these Discuss
Correct Answer: 112.5 metres
Explanation:
Speed = 30 km/hr = 30 x (5/18) = 25/3 m/sec.
? Length of the train = (25/3) x (27/2)
= 225/2 = 1121/2 metres
- 8. A train 160 metres long passes a standing man in 18 seconds. What is the speed of the train?
Options- A. 28 km/hr
- B. 36 km/hr
- C. 32 km/hr
- D. None of these Discuss
Correct Answer: 32 km/hr
Explanation:
Speed of the train = (160/18) x (18/5) = 32 km/hr.
- 9. Find the length of a bridge, which a train 130 metres long travelling at 45 km an hour, can cross in 30 seconds?
Options- A. 240 m
- B. 235 m
- C. 250 m
- D. 245 m Discuss
Correct Answer: 245 m
Explanation:
Speed of the train = 45 km/hr = 45 x (5/18) = 25/2 m/sec
Let the length of the bridge be L metres
? (L + 130) / (25/2) = 30
? L + 130 = 15 x 25
L = 375 - 130 = 245 metres
- 10. A column of men, extending 250 metres 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?
Options- A. 2 km
- B. 1 km
- C. 1.5 km
- D. 2.5 km Discuss
Correct Answer: 2 km
Explanation:
Speed of the column of men = (50 x 75) / (100 x 60) = 5/8 m/sec.
Let the length of the street be L metres
? (L + 250) = (60 x 60 x 5) / 8 = 2250 metres
? L = (2250 - 250) m
? L = 2000 m = 2 km.
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