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- Question
- 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
- Correct Answer
- 112.5 metres
ExplanationSpeed = 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 - 1. 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
- 2. 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
- 3. 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
- 4. 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
- 5. 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
- 6. 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
- 7. 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
- 8. 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
- 9. A train 540 m long is running with a speed of 72 km/hr. In what time it pass a tunnel 160 m long?
Options- A. 40 sec
- B. 30 sec
- C. 35 sec
- D. 42 sec Discuss
- 10. A train 200 m long is running with a speed of 72 km/hr. In what time will it pass a platform 160 m long?
Options- A. 18 sec
- B. 21 sec
- C. 15 sec
- D. 20 sec Discuss
Problems on Trains
Search Results
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: 60
Explanation:
Distance covered in 72 sec. = 300 + 900 m
? Speed = 1200/72 = 50/3 m/sec. = 60 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: 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.
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: 32 km/hr
Explanation:
Speed of the train = (160/18) x (18/5) = 32 km/hr.
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
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.
Correct Answer: 35 sec
Explanation:
? Speed of the train = 72 km/hr = 72 x (5/18) = 20 m/sec.
Sum of the length of the train and tunnel = 540 + 160 = 700 metres.
? Required time taken to pass the tunnel = Time taken to cover 700 metres at 20 m/sec.
= 700/20
= 35 sec.
Correct Answer: 18 sec
Explanation:
Distance covered = 200 + 160 = 360.
Speed of train = 72 km = 72 x (5/18) = 20 sec.
Time = 360 / 20 = 18 sec.
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