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- Question
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
- Correct Answer
- 24
- 1. 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
- 2. Two trains started at the same time, one from A to B and the other from B to A . If they arrived at B and A respectively 4 hours and 9 hours after they passed each other the ratio of the speeds of the two trains was
Options- A. 2:1
- B. 3:2
- C. 4:3
- D. 5:4 Discuss
- 3. A train of length 110 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Options- A. 10
- B. 8
- C. 6
- D. 4 Discuss
- 4. A man sitting in a train which is traveling at 50 kmph observes that a goods train, traveling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed.?
Options- A. 60
- B. 62
- C. 64
- D. 65 Discuss
- 5. What is the unit digit of (217)413 × (819)547 × (414)624 × (342)812?
Options- A. 2
- B. 4
- C. 6
- D. 8 Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. 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
Problems on Trains
Search Results
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: 3:2
Explanation:
Note : If two trains (or bodies) start at the same time from points A and B towards each other and after crossing they take a and b sec in reaching B and A respectively, then: (A's speed) : (B's speed) = (b : a)
Therefore, Ratio of the speeds of two trains = = 3 : 2
Correct Answer: 6
Correct Answer: 62
Explanation:
Relative speed =280/9 m / sec = (280/9*18/5) kmph = 112 kmph.
Speed of goods train = (112 - 50) kmph = 62 kmph.
Correct Answer: 8
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: 79.2 km/hr
Correct Answer: 30
Explanation:
108 kmph = 108*[5/18] m/sec = 30 m / s.
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: 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
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