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- Question
- 150 meter long train takes 10 second two pass a man who is going in same direction at the speed of 2 km/hr . What is the speed of the train?
Options- A. 52 km/hr.
- B. 56 km/hr.
- C. 84 km/hr.
- D. data inadequate
- Correct Answer
- 56 km/hr.
ExplanationLet the speed of the train be Y km/hr
? length of the train = 150 m
= 150/1000 = 3/20 km.
Time taken to cross the man = 10 seconds
= 10/ (60 x 60) = 1/360 hrs .
? time = Length of the train /( speed of the train - speed of the man )
? 1/360 = ( 3 / 20) / ( Y - 2)
? (Y - 2 ) = 3/20 x 360
? (Y - 2 )= 54
? Y = 54 + 2
= 56 km/hr. - 1. X and Y are two station 500 km apart. A train start from X and moves toward Y at 20 km/hr another train station from Y at the same times and moves toward X at 30 km/hr. How far from X will they cross each other?
Options- A. 200 km.
- B. 30 km
- C. 120 km.
- D. 40 km. Discuss
- 2. The distance between two station A and B is 220 km. A train leaves A toward B at an average speed of 80 km/hr. after half an hour another train leaves B toward A at an average speed at 100 km/hr. the distance of the point of two train meet, from A is?
Options- A. 120 km.
- B. 130 km.
- C. 140 km.
- D. 150 km. Discuss
- 3. A train 120 meters long, crosses a pole in 10 seconds. The speed of the train is?
Options- A. 40 km/hr
- B. 43.2 km/hr
- C. 45 km/hr
- D. None of these Discuss
- 4. A train takes 5 seconds to pass an electric pole. If the length of the train is 120 meters, the time taken by it to cross a railway platform 180 meter long, is?
Options- A. 121/2seconds
- B. 71/2seconds
- C. 61/2 seconds
- D. 31/3seconds Discuss
- 5. What is the time taken by a train running at 18 km/h to cross a man standing on a platform, length of the train is 120 m?
Options- A. 22 s
- B. 44 s
- C. 12 s
- D. 24 s Discuss
- 6. A train running at the speed of 45 kmph took 12 seconds in passing a certain point. Then the length of the train must be?
Options- A. 90 meters
- B. 120 meters
- C. 150 meters
- D. 540 meters Discuss
- 7. A train 75 meters long is running with a speed of 20 km/hr. It will pass a standing man in?
Options- A. 12 seconds
- B. 13.5 seconds
- C. 14 seconds
- D. 15 seconds Discuss
- 8. Two stations A and B are 110 kms apart on a straight line. One train start from A at 7 a.m. and travels towards B at 20 km per hour speed. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 km per hour. At what time will they meet?
Options- A. 9 a.m.
- B. 10 a.m
- C. 11 a.m
- D. None of these Discuss
- 9. A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. The length of the train is?
Options- A. 72 meters
- B. 54 meters
- C. 50 meters
- D. 45 meters Discuss
- 10. A train 100 meter long moving at a speed of 50 kmph crosses a train 120 meters long coming from opposite direction in 6 seconds. The speed of second train is?
Options- A. 132 kmph
- B. 82 kmph
- C. 60 kmph
- D. 50 kmph Discuss
Problems on Trains
Search Results
Correct Answer: 200 km.
Explanation:
Suppose they meet x km. from X
Then, x/20 = (500 - x)/30
? 30x = 10000 - 20x
? x = 200 km.
Correct Answer: 120 km.
Explanation:
Let the required distance be x km.
Then, ( x/80 ) - ( 220 - x ) / 100 = 1/2
? 5x - 4( 220 - x ) = 200
? 9x = 1080
? x = 120 km
? Required distance = 120 km
Correct Answer: 43.2 km/hr
Explanation:
Length of train = 120 m.
Total taken in crossing the pole = 10 seconds.
Speed of the train = length / time
= 120 / 10
= 12 m/s
= 12 x (18/5)
= 43.2 km/hr
Correct Answer: 121/2seconds
Explanation:
Speed of train = (120/5) = 24 m/sec.
Time takes to cross the platform
= (120 + 180)/24
= 121/2
Correct Answer: 24 s
Explanation:
Speed of the train = 18 km/h = 18 x 5/18 m/s = 5 m/s
Distance covered = Length of the train = 120 m
? Time taken by the train to cross the man = Distance/Speed
= 120/5 = 24 s
Correct Answer: 150 meters
Explanation:
? Speed = (45 x 5/18) = (25/2) m/sec
Distance = (Time x Speed) = (12 x 25 / 2 ) meters
= 150 meters
? Length of the train = 150 meters
Correct Answer: 13.5 seconds
Explanation:
? Speed of the train = 20 x (5/18) = (50/9) m/sec
? Time taken by the train to pass the man = 75 x (9/50) = 13.5 sec
Correct Answer: 10 a.m
Explanation:
Suppose they meet T hrs after 7 a.m
? Distance covered by A in T hrs = (20 x T) km
Distance covered by B in (T - 1) hrs = 25(T - 1) km
? 20T + 25 (T -1) = 110
? 45 x T = 135
? T = 3 hours
So, they meet at 10 a.m.
Correct Answer: 50 meters
Explanation:
Let the length of the train be L km and its speed by y km/hr
Then , speed of train relative to first man = (y - 2) km/hr
Speed of train relative to second man = (y - 4) km/hr
? L / (y - 2) = 9 /(60 x 60)
and L / (y - 4) = 10/ (60 x 60)
? 9y - 18 = 3600 x L ...(1)
and 10y - 40 = 36000 x L ... (2)
So, 9y - 18 = 10y - 40
? y = 22
? L/ (22 - 2) = 9/ 3600
? L = (20 x 9) / 3600 = 1/20 km = (1/20) x 1000 = 50 m.
Correct Answer: 82 kmph
Explanation:
Let the speed of the second train be y km/hr
Relative speed of both trains = (50 + y) km/hr
Total distance traveled = 100 + 120 = 220 meters = 0.22 km
Time = 6 sec = 6/( 60 x 60) hr.
Speed = distance/time
? 50 + y = (0.22 x 60 x 60)/ 6
? 50 + y = 132
? y = 82
? Speed of the second train = 82 km/hr
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