A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?
A. | 65 sec | |
B. | 89 sec | |
C. | 100 sec | |
D. | 150 sec | |
E. | None of these |
- Speed = 240 m/sec = 10 m/sec. 24
Required time = 240 + 650 sec = 89 sec. 10
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More Questions Related to Quantitative Aptitude > Problem On Trains :
A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
- 120 m
- 240 m
- 300 m
- Data inadequate
- None of these
- Speed = 54 x 5 m/sec = 15 m/sec. 18
Length of the train = (15 x 20)m = 300 m.
Let the length of the platform be x metres.
Then, x + 300 = 15 36
x + 300 = 540
x = 240 m.
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
- 1 : 3
- 3 : 4
- 3 : 2
- Data inadequate
- None of these
- Let the speeds of the two trains be x m/sec and y m/sec respectively.
Then, length of the first train = 27x metres,
and length of the second train = 17y metres.
27x + 17y = 23 x+ y
27x + 17y = 23x + 23y
4x = 6y
x = 3 . y 2
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
- 200 m
- 225 m
- 245 m
- 250 m
- None of these
- Speed = 45 x 5 m/sec = 25 m/sec. 18 2
Time = 30 sec.
Let the length of bridge be x metres.
Then, 130 + x = 25 30 2
2(130 + x) = 750
x = 245 m.
Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is:
- 50 m
- 72 m
- 80 m
- 82 m
- None of these
- Let the length of each train be x metres.
Then, distance covered = 2x metres.
Relative speed = (46 - 36) km/hr
= 10 x 5 m/sec 18 = 25 m/sec 9
2x = 25 36 9
2x = 100
x = 50.
A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?
- 40 sec
- 42 sec
- 45 sec
- 48 sec
- None of these
- Formula for converting from km/hr to m/s: X km/hr = X x 5 m/s. 18
Therefore, Speed = 45 x 5 m/sec = 25 m/sec. 18 2 Total distance to be covered = (360 + 140) m = 500 m.
Formula for finding Time = Distance Speed
Required time = 500 x 2 sec = 40 sec. 25
Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is:
- 36 sec
- 45 sec
- 48 sec
- 49 sec
- None of these
- Relative speed = (60+ 90) km/hr
= 150 x 5 m/sec 18
= 125 m/sec. 3 Distance covered = (1.10 + 0.9) km = 2 km = 2000 m.
Required time = 2000 x 3 sec = 48 sec. 125