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You are here:Open notes>Interview>AptitudeTestProblemsonTrains1
Aptitude Test :: Problems on Trains 1
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A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train?  

2.  A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:  
Answer: Option B Explanation:
= 45 km/hr. Let the speed of the train be x km/hr. Then, relative speed = (x  5) km/hr. x  5 = 45 x = 50 km/hr. 
3.  The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:  
Answer: Option C Explanation:
Time = 30 sec. Let the length of bridge be x metres.
2(130 + x) = 750 x = 245 m. 
4.  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:  
Answer: Option B Explanation: 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 = 23x + 23y 4x = 6y

5.  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?  
Answer: Option B Explanation:
Length of the train = (15 x 20)m = 300 m. Let the length of the platform be x metres.
x + 300 = 540 x = 240 m. 
6.  A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long?  
Answer: Option B Explanation:

7.  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:  
Answer: Option A Explanation: Let the length of each train be x metres. Then, distance covered = 2x metres. Relative speed = (46  36) km/hr
2x = 100 x = 50. 
8.  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?  
Answer: Option A Explanation:
Total distance to be covered = (360 + 140) m = 500 m.

9.  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:  
Answer: Option C Explanation: Relative speed = (60+ 90) km/hr
Distance covered = (1.10 + 0.9) km = 2 km = 2000 m.

10.  A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45 kmph in the same direction. In how much time will the train pass the jogger?  
Answer: Option C Explanation: Speed of train relative to jogger = (45  9) km/hr = 36 km/hr.
= 10 m/sec. Distance to be covered = (240 + 120) m = 360 m.
