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- Question
- Two trains are running on parallel lines in the same direction at a speed of 50 km and 30 km per hour respectively. The faster train crosses a man in slower train in 18 seconds. The length of the faster train is?
Options- A. 170 metres
- B. 100 metres
- C. 98 metres
- D. 85 metres
- Correct Answer
- 100 metres
ExplanationRelative speed of both trains
= (50 - 30) = 20 km/hr
= 20 x (5/18) m/sec.
= (50/9) m/sec.
Let the length of the faster train be L
Then, (L x 9)/50 = 18
? L = (18 x 50)/9
= 100 meters - 1. A train 120 meters long is running at a rate of 54 km/hr. Time taken by the train to cross a tunnel 130 meters long is?
Options- A. 81/3 seconds
- B. 162/3 seconds
- C. 10 seconds
- D. 15 seconds Discuss
- 2. A train travels 100 meters at 70 km hour. A man is running at 10 km per hour in the same direction. What time the train will pass the man?
Options- A. 6 seconds
- B. 62/3 seconds
- C. 7 second
- D. 8 second Discuss
- 3. Two train are running in opposite direction with a speed of 62 kmph and 40 kmph respectively. If the length of one train is 250 meters and they cross each other in 18 seconds, the length of the other train is?
Options- A. 145 metres
- B. 230 metres
- C. 260 metres
- D. Cannot be determined Discuss
- 4. A train passes two persons two persons who are walking in the direction opposite to the direction of train at the rate of 10 m/s and 20 m/s respectively in 12 s and 10 s, respectively. Find the length of the train?
Options- A. 500 m
- B. 900 m
- C. 400 m
- D. 600 m Discuss
- 5. A train travailing at a speed of 30 m/s crosses a 600 m long platform in 30 s. Find the length of the train.
Options- A. 120 m
- B. 150 m
- C. 200 m
- D. 300 m Discuss
- 6. A train crosses a platform in 30 seconds at a speed of 45km/hr. How much time will it take to cross an electric pole if take to cross an electric pole if the length of the platform is 100 metres?
Options- A. 8 seconds
- B. 30 seconds
- C. 52 seconds
- D. None of these Discuss
- 7. A 440 m long train is running at 240 km/h. In what tie will it pass a man running in the direction opposite to that of the train at 24 km/h?
Options- A. 9 s
- B. 6 s
- C. 12 s
- D. 4 s Discuss
- 8. A 280 m long train crosses a platform which is three times of its length, in 6 min 40 s . What is the speed of the train?
Options- A. 3.2 m/s
- B. 1.4 m/s
- C. 2.8 m/s
- D. Cannot be determined Discuss
- 9. Two trains of length 512 m and 528 m are running towards each other on parallel lines at 84 km/h and 60 km/h, respectively. In what time, will they be clear of each other from he moment they meet?
Options- A. 26 s
- B. 25 s
- C. 15 s
- D. 27 s Discuss
- 10. A train 100 meter in length in length passes a milestone in 10 seconds and another train of the same length travelling in opposite direction in 8 seconds. The speed of the second train is?
Options- A. 36 kmph
- B. 48 kmph
- C. 54 kmph
- D. 60 kmph Discuss
Problems on Trains
Search Results
Correct Answer: 162/3 seconds
Explanation:
? Speed of the train = 54 x (5/18) m/sec = 15 m/sec
? Time taken by the train to cross the tunnel
= Time taken by it to cover (120 + 130) m
= (250/15) sec
= 162/3
Correct Answer: 6 seconds
Explanation:
Relative speed of the train
= (70 - 10)
= 60 km/hr
= (60 x 5/18)
= 50/3) m/sec.
? Time taken by the train to pass the man
= (100 x 3/50) = 6 sec.
Correct Answer: 260 metres
Explanation:
Let the length of another train be L meters.
Their relative speed = (62 + 40) km/hr = 102 x (5/18) = (85/3) m/sec
? 250 + L/(85/3) = 18
? 3(250 + L)/85 = 18
? 250 + L = 510
? L = 260
? Length of another train = 260 meters
Correct Answer: 600 m
Explanation:
Let the speed of the train be V
According to the question.
(V + 10) x 12 = (V + 20) x 10
? 6V + 60 = 5V + 100
? x = 100 - 60 = 40 m/s
? Length of the train = (V + 10) x 12
= (40 + 10) x 12 = 600 m
Correct Answer: 300 m
Explanation:
Let length of the train be x m.
Relative length of the train = (x + 600) m
According to the question,
(x + 600)/30 = 30
? x + 600 = 900
? x = 900 - 600 = 300 m
Correct Answer: 30 seconds
Explanation:
Distance covered by the train in crossing the platform
= (45 x 30) / 3600
= 3/8 km
= 375 metres
? Length of train = (375 - 100) = 275 meters
? Time taken to cross the pole
= 275 ÷ (375/30)
= (275 x 30) /375
= 30 sec
Correct Answer: 6 s
Explanation:
Speed of the train relative to man
= (240 + 24) km/h = 264 km/h
= 264 x (5/18) m/s = 220/3 m/s
Distance covered in passing the man = 440 m
? Time taken = (440/220) x 3 = 6 s
Correct Answer: 2.8 m/s
Explanation:
Length of the train = 280 m
Length of the platform = 280 x 3 = 840 m
Taken time = 6 min 40 s
= (360 + 40) = 400 s
? Required speed = Distance / Time
= (840 + 280)/400
= 1120/400
= 28 m/s
Correct Answer: 26 s
Explanation:
Relative speed = (84 + 60) km/h
= 144 km/h = 144 x (5/18) m/s
= 8 x 5 = 40 m/s
Distance covered in passing each other
= 512 + 528 = 1040 m
? Required time = 1040/40 = 26 s
Correct Answer: 54 kmph
Explanation:
Speed of first train = (100/10) = 10 m/sec.
Let the speed of second train be x m/sec
? 200/ 10 + x = 8
? 200 = 80 + 8x
? x = 15
? Speed of second train = 15 m/sec
= (15 x 18/5)
= 54 km/hr.
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