Question : Two trains are moving in the same direction at 36 km/hr and 48 km/hr. The time taken by the faster train to cross a man sitting in the slower train is 33 seconds. What will be the length of the faster train?
Option 1: 770 metres
Option 2: 90 metres
Option 3: 110 metres
Option 4: 180 metres
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Correct Answer: 110 metres
Solution : Relative speed = 48 – 36 = 12 km/hr = 12 × $\frac{5}{18}$ = $\frac{10}{3}$ m/s Time taken = 33 seconds Distance = $\frac{10}{3}$ × 33 = 110 metres Length of the faster train = 110 metres Hence, the correct answer is 110 metres.
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Question : Two trains are moving in the opposite direction at the speed of 48 km/hr and 60 km/hr respectively. The time taken by the slower train to cross a man sitting in the faster train is 12 seconds. What is the length of the slower train?
Option 1: 480 m
Option 2: 720 m
Option 3: 180 m
Option 4: 360 m
Question : Two trains are moving in opposite directions at speeds of 43 km/h and 51 km/h, respectively. The time taken by the slower train to cross a man sitting in the faster train is 9 seconds. What is the length (in metres) of the slower train?
Option 1: 235
Option 2: 338.4
Option 3: 470
Option 4: 940
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
Question : Two trains whose lengths are 450 metres and 300 metres are moving toward each other at speeds of 162 km/hr and 108 km/hr respectively. If the distance between trains is 300 metres, then in how much time, these trains will cross each other?
Option 1: 14 seconds
Option 2: 35 seconds
Option 3: 28 seconds
Option 4: 21 seconds
Question : The time taken for a train of length 110 metres running at a speed of 72 km/h to cross a bridge of length 132 metres is:
Option 1: 9.8 seconds
Option 2: 12.1 seconds
Option 3: 12.42 seconds
Option 4: 14.3 seconds
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