Question : A train, 900 m long, is running at 108 km/h. How long will it take to pass a 900 m long platform completely?
Option 1: 60 sec
Option 2: 45 sec
Option 3: 30 sec
Option 4: 18 sec
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Correct Answer: 60 sec
Solution : Total distance to be covered = 900 + 900 = 1800 m Speed of the train = 108 km/h = 108 × $\frac{5}{18}$ = 30 m/s $\text{Time}=\frac{\text{Length of train + Length of platform}}{{\text{Speed of train}}}$ Time taken to clear the platform = $\frac{1800}{30}$ = 60 sec Hence, the correct answer is 60 sec.
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Question : A train 180 m long moving at a speed of 20 m/sec overtakes a man moving at a speed of 10 m/sec in the same direction. The train passes the man in:
Option 1: 6 sec
Option 2: 9 sec
Option 3: 18 sec
Option 4: 27 sec
Question : A passenger train running at the speed of 80 km/h leaves the railway station six hours after a goods train leaves and overtakes it in four hours. What is the speed of the goods train?
Option 1: 32 km/h
Option 2: 50 km/h
Option 3: 45 km/h
Option 4: 64 km/h
Question : A 110 metres long train is running at a speed of 60 km/h. In what time will it pass a man who is running at 6 km/h in the direction opposite to that in which the train is going?
Option 1: 5 seconds
Option 2: 6 seconds
Option 3: 7 seconds
Option 4: 10 seconds
Question : A 252 m long train is running at a speed of 125 km/h. What is the time (in seconds) in which it will pass a man who starts from the engine running at the speed of 17 km/h in the same direction as that of the train?
Option 1: 7.6
Option 2: 8
Option 3: 8.4
Option 4: 6.4
Question : Train A running at 81 km/hr takes 72 sec to overtake train B, when both the trains are running in the same direction, but it takes 36 sec to cross each other if the trains are running in the opposite direction. If the length of train B is 600 metres, then find the length of train A (in metres).
Option 1: 600
Option 2: 480
Option 3: 590
Option 4: 900
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