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- Question
A train covers a distance between station A and station B in 45 min.If the speed of the train is reduced by 5 km/hr,then the same distance is covered in 48 min.what is the distance between the stations A and B ?
Options- A. 80 kms
- B. 60 kms
- C. 45 kms
- D. 32 kms
- Correct Answer
- 60 kms
ExplanationLet 'd' be the distance and 's' be the speed and 't' be the time
d=sxt
45 mins = 3/4 hr and 48 mins = 4/5 hr
As distance is same in both cases;
s(3/4) = (s-5)(4/5)
3s/4 = (4s-20)/5
15s = 16s-80
s = 80 km.
=> d = 80 x 3/4 = 60 kms. - 1. 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
- 2. 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
- 3. 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
- 4. 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
- 5. 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
- 6. A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?
Options- A. 230 m
- B. 240 m
- C. 260 m
- D. 270 m Discuss
- 7. The difference between the time taken by two trains to travel a distance of 350 km is 2 hours 20 minutes. If the difference between their speeds is 5 km/hr, what is the speed of faster train ?
Options- A. 36 kmph
- B. 30 kmph
- C. 34 kmph
- D. 40 kmph Discuss
- 8. A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is :
Options- A. 130
- B. 360
- C. 500
- D. 540 Discuss
- 9. A train is traveling at 48 kmph . It crosses another train having half of its length , traveling in opposite direction at 42 kmph, in 12 seconds. It also passes a railway platform in 45 seconds. What is the length of the platform ?
Options- A. 500
- B. 400
- C. 360
- D. 480 Discuss
- 10. A jogger is running at 9 kmph alongside a railway track is 240 meters ahead of the engine of a 120 meters long train running at 45 kmph in the same direction. In how much time will the train pass the jogger ?
Options- A. 48 sec
- B. 36 sec
- C. 18 sec
- D. 72 sec Discuss
Problems on Trains
Search Results
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.
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: 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: 50 kms
Explanation:
Let the distance be 'd' kms.
According to the given data,
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: 270 m
Explanation:
Speed =[ 72 x (5/18) ]m/sec= 20 m/sec.
Time = 26 sec.
Let the length of the train be x metres.
Then,[ (x+250)/26 ]= 20
=> x + 250 = 520
=> x = 270.
Correct Answer: 30 kmph
Explanation:
Let the speed of the faster train be 'S' kmph
Then speed of the slower train will be '(S-5)' kmph
Time taken by faster train = 350/S hrs
Time taken by slower train = 350/(S-5) hrs
=> S = 30 km/hr.
Correct Answer: 500
Correct Answer: 400
Correct Answer: 36 sec
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