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- Question
Two trains having equal lengths, take 10 seconds and 15 seconds respectively to cross a post. If the length of each train is 120 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?
Options- A. 10
- B. 25
- C. 12
- D. 20
- Correct Answer
- 12
ExplanationSpeed of train 1 = = 12 m/sec
Speed of train 2 = = 8 m/sec
if they travel in opposite direction, relative speed = 12 + 8 = 20 m/sec
distance covered = 120 + 120 = 240 m
time = distance/speed = 240/20 = 12 sec - 1. A train is moving and crossing a man who is running on a platform of 100 m at a speed of 8 kmph in the direction of the train, in 9 sec. If the speed of the train is 74 kmph. Find the length of the train ?
Options- A. 202 mts
- B. 188 mts
- C. 165 mts
- D. 156 mts Discuss
- 2. A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
Options- A. 50 m
- B. 150 m
- C. 200 m
- D. data inadequate Discuss
- 3. A train travelling at a speed of 75 mph enters a tunnel 312 miles long. The train is 14 mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
Options- A. 2.5 min
- B. 3 min
- C. 3.2 min
- D. 3.5 min Discuss
- 4. Two trains of equal length , running in opposite directions , pass a pole in 18 and 12 seconds. The trains will cross each other in
Options- A. 14.4 sec
- B. 15.5 sec
- C. 18.8 sec
- D. 20.2 sec Discuss
- 5. Two stations P and Q are 110 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet?
Options- A. 10.30
- B. 10
- C. 8.45
- D. 9.30 Discuss
- 6. A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train ?
Options- A. 230 m
- B. 240 m
- C. 260 m
- D. 320 m Discuss
- 7. A passenger train covers the distance between station K and L, 40 minutes faster than a goods train. Find this distance between K and L if the average speed of the passenger train is 50 km/h and that of goods train is 30 km/h?
Options- A. 50 kms
- B. 48 kms
- C. 46 kms
- D. 44 kms Discuss
- 8. A train travelling with a speed of 60 km/hr catches another train travelling in the same direction and then leaves it 120m behind in 18 seconds. The speed of the second train is
Options- A. 42 kmph
- B. 72 kmph
- C. 36 kmph
- D. 44 kmph Discuss
- 9. Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:
Options- A. 9
- B. 9.6
- C. 10
- D. 10.8 Discuss
- 10. A train travelling at 48 kmph crosses another train, having half its length and travelling in opposite direction at 42 kmph, in 12 sec. It also covers a bridge in 45 sec. Find the length of the bridge ?
Options- A. 250 mts
- B. 400 mts
- C. 320 mts
- D. 390 mts Discuss
Problems on Trains
Search Results
Correct Answer: 165 mts
Explanation:
Let the length of the train = L mts
Relative speed of train and man = 74 - 8 = 66 kmph = 66 x 5/18 m/s
=> 66 x 5/18 = L/9
=> L = 165 mts.
Correct Answer: 150 m
Correct Answer: 3 min
Explanation:
Total distance covered = miles = miles
Time taken = hrs = hrs = = 3 min
Correct Answer: 14.4 sec
Explanation:
Let the length of the train be L metres
Speed of first train = m/hour
Speed of secxond train = m/hour
When running in opposite directions, relative speed = 200 L + 300 L m/hour
Distance to be covered = L + L = 2L metre
Time taken = sec
=14.4 sec
Correct Answer: 10
Explanation:
Assume both trains meet after x hours after 7 am
Distance covered by train starting from P in x hours = 20x km
Distance covered by train starting from Q in (x-1) hours = 25(x-1)
Total distance = 110
=> 20x + 25(x-1) = 110
=> 45x = 135
=> x= 3
Means, they meet after 3 hours after 7 am, ie, they meet at 10 am
Correct Answer: 230 m
Explanation:
Relative speed = (120 + 80) km/hr
=(200*5/18)m/s = (500/9)m/s
Let the length of the other train be x metres.
Then, x+270/9 = 500/9
=> x + 270 = 500
=> x = 230.
Correct Answer: 50 kms
Explanation:
Let the distance be 'd' kms.
According to the given data,
Correct Answer: 36 kmph
Explanation:
Given speed of the first train = 60 km/hr = 60 x 5/18 = 50/3 m/s
Let the speed of the second train = x m/s
Then, the difference in the speed is given by
=> x = 10 m/s
=> 10 x 18/5 = 36 km/hr
Correct Answer: 10.8
Explanation:
Relative speed = (60 + 40) km/hr =[ 100 x ( 5 / 18 ) ]m/sec = ( 250 /9 ) m/sec.
Distance covered in crossing each other = (140 + 160) m = 300 m.
Required time = [ 300 x ( 9/250 ) ] sec = ( 54/ 5 )sec = 10.8 sec.
Correct Answer: 400 mts
Explanation:
Let the length of the 1st train = L mts
Speed of 1st train = 48 kmph
Now the length of the 2nd train = L/2 mts
Speed of 2nd train = 42 kmph
Let the length of the bridge = D mts
Distance = L + L/2 = 3L/2
Relative speed = 48 + 42 = 90 kmph = 90 x 5/18 = 25 m/s(opposite)
Time = 12 sec
=> 3L/2x25 = 12
=> L = 200 mts
Now it covers the bridge in 45 sec
=> distance = D + 200
Time = 45 sec
Speed = 48 x5/18 = 40/3 m/s
=> D + 200/(40/3) = 45
=> D = 600 - 200 = 400 mts
Hence, the length of the bridge = 400 mts.
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