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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Correct Answer: 54 km/hr
Solution : Let the speed of the first train be $x$ km/hr. Then, the relative speed of the two trains in opposite directions is $(43.2 + x)$ km/hr. The total distance covered by the two trains in 10 seconds = 150 + 120 = 270 m Distance = Speed × Time $⇒270 = (43.2 + x) \times \frac{5}{18} \times 10$ $⇒270\times \frac{18}{10} = (43.2 + x) \times 5$ $⇒486=216+5x$ $\therefore x = \frac{486 - 216}{5} = 54$ Hence, the correct answer is 54 km/hr.
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Question : Train P crosses train Q completely in 45 seconds while running in opposite directions. The lengths of train P and train Q are 1200 metres and 1500 metres respectively. The speed of train Q is 144 km/hr. In how much time can train P to cross an 1800 metres long platform?
Option 1: 180 seconds
Option 2: 175 seconds
Option 3: 120 seconds
Option 4: 150 seconds
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 : A train can cross a 1200-metre-long bridge completely in 16 seconds. It can cross a 1600-metre-long bridge completely in 20 seconds. What is the speed of the train?
Option 1: 360 km/hr
Option 2: 450 km/hr
Option 3: 540 km/hr
Option 4: 270 km/hr
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 : A 900-metre-long train crosses a 1200 metres long platform completely in 70 seconds. What is the speed of the train?
Option 1: 117 km/hr
Option 2: 108 km/hr
Option 3: 99 km/hr
Option 4: 90 km/hr
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