Question : 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:
Option 1: 72 m
Option 2: 80 m
Option 3: 82 m
Option 4: 50 m
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Correct Answer: 50 m
Solution : Let the length of each train be $x$ m. During the crossing, the two trains cover a distance equal to the sum of their lengths. Then, the distance covered = $2x$ m Relative speed = 46 − 36 = 10 km/hr = 10 × $\frac{5}{18} =\frac{25}{9}$ m/s $\text{Speed}=\frac{\text{Distance}}{{\text{Time}}}$ ⇒ $\frac{25}{9}=\frac{2x}{36}$ $\therefore x=$ 50 m Hence, the correct answer is 50 m.
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Question : An 800-metre-long train can pass a stationary pole completely in 72 seconds. A 1200 -metre-long train can also pass a stationary pole completely in 72 seconds. If both the trains are running in the same direction, then the faster train, coming from behind the slower train, can cross the slower train in how much time?
Option 1: 240 seconds
Option 2: 360 seconds
Option 3: 280 seconds
Option 4: 480 seconds
Question : Two trains are moving in the same direction at the speed of 44 km/hr and 70 km/hr. The time taken by a faster train to cross a man sitting in the slower train is 72 seconds. What will be the length of the faster train?
Option 1: 520 metres
Option 2: 620 metres
Option 3: 450 metres
Option 4: 500 metres
Question : Two stations L and M are 720 km apart from each other. A train leaves from L to M, and another trains leave from M to L simultaneously. Both trains meet after 24 hours. If the speed of the first train is 10 km/hr more than the second train, then what is the speed of the slower train?
Option 1: 20 km/hr
Option 2: 16 km/hr
Option 3: 14 km/hr
Option 4: 10 km/hr
Question : Two trains 100 metres and 95 metres long, respectively pass each other in 27 seconds when they run in the same direction and in 9 seconds when they run in opposite directions. The speeds of the two trains are:
Option 1: 44 km/hr, 22 km/hr
Option 2: 52 km/hr, 26 km/hr
Option 3: 36 km/hr, 18 km/hr
Option 4: 40 km/hr, 20 km/hr
Question : Two trains 150 m and 120 m long respectively moving from opposite directions cross each other in 10 seconds. If the speed of the second train is 43.2 km/hr, then the speed of the first train is:
Option 1: 54 km/hr
Option 2: 50 km/hr
Option 3: 52 km/hr
Option 4: 51 km/hr
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