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Practice Train Problems Practice Questions with Detailed Solutions – Level 3

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  1. Question 1

    Two trains of lengths 150 m and 210 m take 36 seconds to cross each other when they run in the same direction. They take 9 seconds when they run in opposite directions. What is the speed of the faster train?

  2. Question 2

    A train passes a man walking at 3 km/h in the same direction in 18 seconds. It passes another man walking at 6 km/h in the opposite direction in 12 seconds. What is the length of the train?

  3. Question 3

    A train crosses a signal pole in 12 seconds and a platform in 27 seconds. The platform is 66 m longer than the train. What is the length of the train?

  4. Question 4

    Stations A and B are 495 km apart. A train leaves A for B at 8:00 a.m. at 60 km/h. Another train leaves B for A at \(9 : 30\) a.m. at 75 km/h. At what distance from A will the two trains meet?

  5. Question 5

    Two trains start at the same time from towns P and Q and move towards each other. After they meet, the train from P reaches Q in 4 hours and the train from Q reaches P in 9 hours. The speed of the train from P is 60 km/h. What is the distance between P and Q?

  6. Question 6

    Two trains run in opposite directions on parallel tracks. Train A is 245 m long and runs at 54 km/h. A passenger sitting in train A notices that train B, which is 280 m long, passes him in 8 seconds. How long do the two trains take to cross each other completely?

  7. Question 7

    A train overtakes a man walking at 3 km/h in 10 seconds. It overtakes a cyclist riding at 12 km/h in 12 seconds. Both are moving in the same direction as the train. What is the speed of the train?

  8. Question 8

    A train passes a pole in 15 seconds and passes completely through a tunnel in 40 seconds. For how many seconds is the train entirely inside the tunnel?

  9. Question 9

    Train A crosses a pole in 10 seconds and train B crosses a pole in 15 seconds. Running in opposite directions, the two trains cross each other in 12 seconds. What is the ratio of the speed of train A to that of train B?

  10. Question 10

    A train leaves Delhi at 6:00 a.m. at 50 km/h. Another train leaves Delhi on a parallel track in the same direction at 8:00 a.m. It overtakes the first train at 1:00 p.m. What is the speed of the second train?

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