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- Question
- A train, 500 m long passes a standing train in 20 s moving at a speed of 100 km/h. Find the length of the standing train?
Options- A. 50.55 m
- B. 55.56 m
- C. 45.65 m
- D. None of the above
- Correct Answer
- 55.56 m
ExplanationLet x be the length of the standing train
? Speed of the train = (500 + x)/20
? 100 x (5/18) = (500 + x)/20
? 500 + x = (100 x 5 x 20)/18
? 500 + x = 555.56
? x = 555.56 - 500 = 55.56 m - 1. The distance between two stations P and Q is 145 km. A train with speed of 25 km/h leaves station at 8 : 00 am towards station Q. Another train with speed of 35 km/h leaves station Q at 9:00 am towards station P. Then, at what time both trains meet?
Options- A. 10 : 00 am
- B. 11 : 00 am
- C. 12 : 00 am
- D. 11 : 30 am Discuss
- 2. The average speed of a bus is three-fourth the average speed of a train. The train covers 240 km in 12 h . How much distance will the bus cover in 7 h?
Options- A. 110 km
- B. 115 km
- C. 105 km
- D. 100 km Discuss
- 3. The distance travelled by a train is 1830 km. The speed of the train is one more than twice the time taken to travel the distance. What will be the respective ratio of the speed of the train and time taken to travel?
Options- A. 30 : 61
- B. 61 : 30
- C. 25 : 51
- D. 51 : 25 Discuss
- 4. A 110 m long train crosses a tree in 3 s. How long will take to cross 165 m long platform and 135 m long bridge, if platform and bridge are at a distance of 30 m?
Options- A. 12 s
- B. 15 s
- C. 16 s
- D. 18 s Discuss
- 5. Train A crosses a pole in 25 s and train B crosses the pole in 1 min 15 s . Length of train A is half the length of train B. What is the ratio between the speeds of A and B, respectively?
Options- A. 3 : 2
- B. 3 : 4
- C. 4 : 3
- D. Could't be determined Discuss
- 6. Two trains travel in opposite direction at 32 km/h and 40 km/h and a man sitting in slower train passes the faster train in 6 s. The length of the faster train is?
Options- A. 120 m
- B. 114 m
- C. 124 m
- D. 136 m Discuss
- 7. Two trains 121 m long and 99 m long are running in opposite direction, first at 40 km/h and the second at 32 km/h. In what time will they completely clear off each other from the moment they meet?
Options- A. 10 s
- B. 11 s
- C. 13 s
- D. 14 s Discuss
- 8. A train travailing at a speed of 30 m/s crosses a 600 m long platform in 30 s. Find the length of the train.
Options- A. 120 m
- B. 150 m
- C. 200 m
- D. 300 m Discuss
- 9. A train passes two persons two persons who are walking in the direction opposite to the direction of train at the rate of 10 m/s and 20 m/s respectively in 12 s and 10 s, respectively. Find the length of the train?
Options- A. 500 m
- B. 900 m
- C. 400 m
- D. 600 m Discuss
- 10. Two train are running in opposite direction with a speed of 62 kmph and 40 kmph respectively. If the length of one train is 250 meters and they cross each other in 18 seconds, the length of the other train is?
Options- A. 145 metres
- B. 230 metres
- C. 260 metres
- D. Cannot be determined Discuss
Problems on Trains
Search Results
Correct Answer: 11 : 00 am
Explanation:
First train leaves at 8 :00 am and second at 9:00 am.
So, first train i,e from P to Q has covered 25 km distance in 1 h.
So, distance left between the station = 145 - 25 = 120 km
Now, trains are travelling in opposite directions,
So, relative speed = 25 + 35 = 60 km/h
Time taken to cover 120 km = 120/60 = 2h
? The time, at which both the trains will meet, is 2 h after second train left i.e., 9 : 00 am + 2h = 11 : 00 am
Correct Answer: 105 km
Explanation:
Average speed of train = 240/12 = 20 km/h
Average speed of bus = (3/4) x 20 = 3 x 5 = 15 km/h
Required distance = 15 x 7 = 15 km/h
Correct Answer: 61 : 30
Explanation:
Let time taken to cover the distance = t
? Speed = (2t + 1)
? t(2t + 1) = 1830 ? 2t2 + t = 1830
? 2t2 + t - 1830 = 0
? t = -1 ± ?(1)2 - 4 x 2 x(-1830) / 2 x 2
= -1 ± ?1 + 14640 / 4
= -1 ± 121 / 4
Taking '+' sign t = -1 + 121 / 4 = 120/4 = 30
? Required ratio = (2 x 30 + 1) : 30 = 61 : 30
Correct Answer: 12 s
Explanation:
The distance covered by the train to cross the platform and bridge
= Length of the platform + Length of bridge + Distance between platform and bridge + Length of the train
= 165 + 135 + 30 + 110 = 440 m
Speed of train = 110 /3 m/s
? Required time taken = 440/(110/3) = 12 s
Correct Answer: 3 : 2
Explanation:
Let the lengths of the trains A and B be a and 2a, respectively.
when a train crosses a pole, it covers the distance equal to its length.
? Required ratio of speeds = a / 25 : 2a /75 = 3 : 2
Correct Answer: 120 m
Explanation:
Relative speed = (32 + 40) = 72 km/h = (72 x 5/18) m/s = 20 m/s
? Length of train = (20 x 6) = 120 m
Correct Answer: 11 s
Explanation:
Total distance to be traveled = 121 + 99 = 220 m
Relative speed = Sum of speeds = 72 km/h
= 72 x (5/18) = 20 m/s
? Required time = 220/20 = 11s
Correct Answer: 300 m
Explanation:
Let length of the train be x m.
Relative length of the train = (x + 600) m
According to the question,
(x + 600)/30 = 30
? x + 600 = 900
? x = 900 - 600 = 300 m
Correct Answer: 600 m
Explanation:
Let the speed of the train be V
According to the question.
(V + 10) x 12 = (V + 20) x 10
? 6V + 60 = 5V + 100
? x = 100 - 60 = 40 m/s
? Length of the train = (V + 10) x 12
= (40 + 10) x 12 = 600 m
Correct Answer: 260 metres
Explanation:
Let the length of another train be L meters.
Their relative speed = (62 + 40) km/hr = 102 x (5/18) = (85/3) m/sec
? 250 + L/(85/3) = 18
? 3(250 + L)/85 = 18
? 250 + L = 510
? L = 260
? Length of another train = 260 meters
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