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- Question
- A train travelling at 48 km/h completely crosses an another train having half length of first train and travelling in opposite directions at 42 km/h in 12 s. It also passes a railways platform in 45 s . The length of the platform is?
Options- A. 400 m
- B. 450 m
- C. 560 m
- D. 600 m
- Correct Answer
- 400 m
ExplanationLet the length of the first train be x m.
Then, the length of second train is (x/2) m
? Relative speed = (48 + 42) km/h = (90 x 5/18) m/s = 25 m/s
According to the question. (x + x/2) / 25 = 12
? 3x/2 = 300
? x = 200 m
? Length of first train = 200 m
Let the length of platform be y m .
Speed of the first train = (48 x 5/18) m/s = 40/3 m/s
Time = Distance / Speed
? (200 + y) x 3/40 = 45
? 600 + 3y = 1800
? y = 400 m - 1. A trains 100 meters long, running at 36 kmph takes 25 second to pass a bridge. The length of the bridge is?
Options- A. 150 meter
- B. 144 meter
- C. 90 meter
- D. 540 meter Discuss
- 2. A train 700 m long is running at the speed of 72 km per hour. If it crosses a tunnel in 1 minute, then the length of the tunnel is?
Options- A. 500 m
- B. 550 m
- C. 600 m
- D. 700 m Discuss
- 3. Two trains 132 metres and 108 metres in length are running towards each other on parallel lines. One at the rate of 32 km/hr and another at 40 km/hr. In what time will they be clear of each other from the moment they meet?
Options- A. 12 sec
- B. 9 sec
- C. 15 sec
- D. Data inadequate Discuss
- 4. A train with 90 km/hr crosses a bridge in 36 seconds. Another train 100 m shorter crosses the same bridge at 45 km/hr. Find the time taken by the second train to cross the bridge?
Options- A. 64 sec
- B. 60 sec
- C. 72 sec
- D. 1 hr Discuss
- 5. A train 700 m long is running at the speed of 72 km/hr. If it cross a tunnel in 1 minute, then the length of the tunnel?
Options- A. 700 m
- B. 600 m
- C. 550 m
- D. 500 m Discuss
- 6. Two trains A and B start from Delhi and Patna toward Patna and Delhi, respectively. After passing each other, they take 16 h and 9 h to reach Patna and Delhi, respectively. If the train from Delhi is moving at 90 km/h, then find the speed of the other train (in km/h) .?
Options- A. 120
- B. 190
- C. 125
- D. 145 Discuss
- 7. A train takes 9 s to cross a pole. If the speed of the train is 48 km/h, then length of the train is?
Options- A. 150 m
- B. 120 m
- C. 90 m
- D. 80 m Discuss
- 8. A train running at the speed of 72 km/h goes past a pole in 15 s. What is the length of the train?
Options- A. 150 m
- B. 200 m
- C. 300 m
- D. 350 m Discuss
- 9. 150 m long train running with the speed of 90 km/h to cross a bridge in 26 s .What is the length of the bridge?
Options- A. 500 m
- B. 600 m
- C. 659 m
- D. 550 m Discuss
- 10. A train crosses a platform in 30 s travelling with a speed of 60 km/h. If the length of the train be 200 m, then the length of the platform is?
Options- A. 420 m
- B. 500 m
- C. 300 m
- D. 250 m Discuss
Problems on Trains
Search Results
Correct Answer: 150 meter
Explanation:
Speed = 36 x (5/18) = 10 m/sec
Let the length of the bridge = L m
Distance covered = (100 + L) m
Time taken = 25 sec
? (100 + L ) / 25 = 10 m/sec
? 100 + L = 250
? L = 150 meter
Correct Answer: 500 m
Explanation:
Speed of the train = 72 x (5/18) = 20 m/sec
Let the length of tunnel = L meters
Then, (700 + L )/ 60 = 20
? 700 + L = 1200
? L = 500 meters
Correct Answer: 12 sec
Explanation:
Relative speed of the train = (32 + 40) = 72 km/hr = 72 x 5/18 = 20 m/sec.
Sum of length of the train = 132 + 108 = 240 m
time taken by the trains in passing each other = 240/20 = 12 sec .
Correct Answer: 64 sec
Explanation:
Speed of the first train = 90 km/hr = 90 x (5/18) m/sec. = 25 m/sec
Let the length of the train and bridge be L metre.
? L = 25 x 36 = 900 m.....(1)
Again Speed of the second train = 45 km/hr = 45 x (5/18) = 25/2 m/sec.
Now, putting the value from eqn. (1) we have
Time taken = (900 - 100) x 2/25 = 800 x 2/25 = 64 sec
Correct Answer: 500 m
Explanation:
length of tunnel + length of train = distances covered by train in 1 min
? length of tunnel + 700 = 72/60 km = 1.2 km = 1200 m
? length of tunnel = 1200 - 700 = 500 m
Correct Answer: 120
Explanation:
Given t1 = 16 h , t2 = 9 h and a = 90 km/h
According to the question
? Speed of B = a?t1/ t2
= 90 x ?16/9
= 90 x 4/3
= 30 x 4 = 120 km/h
Correct Answer: 120 m
Explanation:
Let the length of the train be L m.
New , speed = 48 km/h = 48 x (5/18) m/s
Train takes 9 s to cross a pole.
? : Length of train, L = Speed x Time
= 48 x (5/18) x 9 = 120 m
Correct Answer: 300 m
Explanation:
Speed of train = Length of train / Time taken to cross the stationary object
? Length of train = Speed of train x Time taken to cross the stationary object
= 72 x 5 x (15/18) = 300 m
Correct Answer: 500 m
Explanation:
Let length of bridge be L m.
We know, Speed = Distance/Time
According to the question,
90 x 5/18 = 150 + L/26
? 25 x 26 = 150 + L
? 650 = 150 + L
? L = 500 m
Correct Answer: 300 m
Explanation:
Speed of train = 60 km/h = 60 x (5/18) m/s = 50/3 m/s
Let length of the platform be L m.
According to the question,
200 + L = (50/3) x 30
? 200 + L = 500
? L = 300 m
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