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- Question
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
- Correct Answer
- 50 kms
ExplanationLet the distance be 'd' kms.
According to the given data,
- 1. 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
- 2. 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
- 3. 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
- 4. 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
- 5. 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
- 6. 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
- 7. 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
- 8. 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
- 9. 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 Discuss
- 10. 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
Problems on Trains
Search Results
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: 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
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: 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.
Correct Answer: 60 kms
Explanation:
Let '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.
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.
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