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- Question
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
- Correct Answer
- 10
ExplanationAssume 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 - 1. A train moves with a speed of 108 kmph. Its speed in metres per second is :
Options- A. 10.8
- B. 18
- C. 30
- D. 38.8 Discuss
- 2. A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train ?
Options- A. 69.5 km/hr
- B. 70 km/hr
- C. 79 km/hr
- D. 79.2 km/hr Discuss
- 3. Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 12 seconds, the speed of each train (in km/hr) is
Options- A. 42
- B. 36
- C. 28
- D. 20 Discuss
- 4. Two cogged wheels of which one has 32 cogs and other 54 cogs, work into each other. If the latter turns 80 times in three quarters of a minute, how often does the other turn in 8 seconds?
Options- A. 48
- B. 24
- C. 38
- D. 36 Discuss
- 5. A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is :
Options- A. 9.5 km/hr
- B. 10 km/hr
- C. 10.5 km/hr
- D. 11 km/hr Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. 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 Discuss
Problems on Trains
Search Results
Correct Answer: 30
Explanation:
108 kmph = 108*[5/18] m/sec = 30 m / s.
Correct Answer: 79.2 km/hr
Correct Answer: 36
Explanation:
Distance covered = 120+120 = 240 m
Time = 12 s
Let the speed of each train = v. Then relative speed = v + v = 2v
2v = distance/time = 240/12 = 20 m/s
Speed of each train = v = 20/2 = 10 m/s
= 10 × 36/10 km/hr = 36 km/hr
Correct Answer: 24
Correct Answer: 10 km/hr
Explanation:
Man's rate in still water = (15 - 2.5) km/hr = 12.5 km/hr.
Therefore, Man's rate against the current = (12.5 - 2.5) = 10 km/hr.
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: 3 min
Explanation:
Total distance covered = miles = miles
Time taken = hrs = hrs = = 3 min
Correct Answer: 150 m
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: 12
Explanation:
Speed 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
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