 |  Problems on Trains 30 Flashcards |  Start |
 | What is the formula to calculate the time taken by a train to cross a stationary object? |  Card: 1 / 30 |
| Time = Length of the Train / Speed of the Train. | Card: 2 / 30 |
| Two trains, A and B, are moving in opposite directions with speeds of x km/h and y km/h, respectively. If their lengths are a and b, what is the time taken for them to cross each other? | Card: 3 / 30 |
| Time = (a + b) / (x + y). | Card: 4 / 30 |
| A train 400 m long crosses a pole in 10 seconds. What is its speed? | Card: 5 / 30 |
| Speed = Length / Time = 400 m / 10 s = 40 m/s. | Card: 6 / 30 |
| What is the average speed of a train that travels 300 km in 4 hours and returns the same distance in 5 hours? | Card: 7 / 30 |
| Average Speed = Total Distance / Total Time = (300 + 300) / (4 + 5) = 600 / 9 = 66.67 km/h. | Card: 8 / 30 |
| If two trains are moving in the same direction at speeds x km/h and y km/h respectively, how long will it take for them to cross each other? | Card: 9 / 30 |
| Time = (Length of Train A + Length of Train B) / (x - y). | Card: 10 / 30 |
| A train leaves station A at 2:00 PM traveling at 90 km/h. Another train leaves station B, 180 km away, at 2:30 PM traveling at 120 km/h. At what time will they meet? | Card: 11 / 30 |
| Let t be the time in hours after 2:00 PM when they meet. The first train travels 90t km, while the second travels 120(t - 0.5) km. Setting the distances equal gives: 90t = 120t - 60. Solving gives t = 2 hours. They meet at 4:00 PM. | Card: 12 / 30 |
| A train crosses a 500 m long bridge in 25 seconds. If the train's length is 200 m, what is its speed? | Card: 13 / 30 |
| Total distance = Length of Train + Length of Bridge = 200 m + 500 m = 700 m. Speed = Distance / Time = 700 m / 25 s = 28 m/s. | Card: 14 / 30 |
| How do you calculate the rest time per hour for a train if its average speed without stoppage is x km/h and with stoppage is y km/h? | Card: 15 / 30 |
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| Rest Time per hour = (x - y) / x. | Card: 16 / 30 |
| Two trains A and B with lengths 300 m and 450 m respectively are traveling towards each other at speeds of 60 km/h and 90 km/h. How long will they take to cross each other? | Card: 17 / 30 |
| Convert to m/s: Relative speed: 16.7 + 25 = 41.7 m/s Time = Distance / Speed | Card: 18 / 30 |
| What is the formula to find the meeting point of two trains if they leave two stations at different times? | Card: 19 / 30 |
| Distance from the first station = (t2 - t1) * (speed of Train A * speed of Train B) / (speed of Train A - speed of Train B). | Card: 20 / 30 |
| A train takes 15 seconds to pass a 120 m long platform. If the train's speed is 54 km/h, what is the length of the train? | Card: 21 / 30 |
| Speed = 54 km/h = 54 * (5/18) m/s = 15 m/s. Distance = Speed * Time = 15 m/s * 15 s = 225 m. Length of the train = Total distance - Length of platform = 225 m - 120 m = 105 m. | Card: 22 / 30 |
| A train takes 10 seconds to cross a pole. If its speed is 36 km/h, what is the length of the train? | Card: 23 / 30 |
| Speed = 36 km/h = 10 m/s. Length of the train = Speed * Time = 10 m/s * 10 s = 100 m. | Card: 24 / 30 |
| Two trains leave stations 100 km apart at the same time, traveling towards each other at speeds of 45 km/h and 55 km/h. How long will it take for them to meet? | Card: 25 / 30 |
| Combined speed = 45 km/h + 55 km/h = 100 km/h. Time to meet = Distance / Speed = 100 km / 100 km/h = 1 hour. | Card: 26 / 30 |
| A train 250 m long is traveling at 72 km/h. How long will it take to pass a bridge 150 m long? | Card: 27 / 30 |
| Speed = 72 km/h = 20 m/s. Total distance = 250 m + 150 m = 400 m. Time = Distance / Speed = 400 m / 20 m/s = 20 seconds. | Card: 28 / 30 |
| A train travels 150 km at a speed of 75 km/h. How much time does it take? | Card: 29 / 30 |
| Time = Distance / Speed = 150 km / 75 km/h = 2 hours. | Card: 30 / 30 |
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