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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? | ||||||||
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m/sec| 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.
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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.
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| 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.
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| 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.
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| 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:
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| 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
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| 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.
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| 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.
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| 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.
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