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- Question
- 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
- Correct Answer
- 50 metres
ExplanationLet 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. - 1. 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
- 2. 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
- 3. A train of length 150 meters takes 10 seconds to pass over another train 100 meters long coming from the opposite direction. If the speed of the first train be 30 kmph, the speed of the second train is?
Options- A. 54 kmph
- B. 60 kmph
- C. 72 kmph
- D. 36 kmph Discuss
- 4. A train is running at the rate 40 kmph. A man also is going in the same direction parallel to the train at the speed of 25 kmph. If the train crosses the man in 48 sec, the length of the train is?
Options- A. 50 meters
- B. 100 meters
- C. 150 meters
- D. 200 meters Discuss
- 5. A 150 meter long train crosses a man walking at the speed of 6 kmph in the opposite direction in 6 seconds. The speed of the train in km/hr is?
Options- A. 66
- B. 84
- C. 96
- D. 106 Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. 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
Problems on Trains
Search Results
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.
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.
Correct Answer: 60 kmph
Explanation:
Relative speed of both trains = (150 + 100)/10 = 25 m/sec = 25 x (18/5) = 90 km/hr
? Speed of second train = (90 - 30) = 60 km/hr .
Correct Answer: 200 meters
Explanation:
? Relative speed of the train = (40 - 25) km/hr = 15 x (5/18) = 25/6 m/sec
? Length of the train = (48 x 25) / 6 = 200 meters .
Correct Answer: 84
Explanation:
Let the speed of the train be v km/hr
Relative speed of the train = (v + 6) km/hr = [(v + 6) x 5/18] m/sec
? 150/6 = (v + 6) x (5/18)
? 5v + 30 = 450
? v = 84 km/hr
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.
Correct Answer: 60
Explanation:
Distance covered in 72 sec. = 300 + 900 m
? Speed = 1200/72 = 50/3 m/sec. = 60 km/hr .
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.
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
Correct Answer: 32 km/hr
Explanation:
Speed of the train = (160/18) x (18/5) = 32 km/hr.
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