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QuizTime: 20 Amazing Aptitude Problem on Trains- Quiz Questions and Answers
| # | Question | A | B | C | D | Answer | Explanation |
|---|---|---|---|---|---|---|---|
| 1 | A train travels at 60 km/h. How much time will it take to cover 500 m? | 20 sec | 25 sec | 30 sec | 35 sec | C | 60 km/h = 50/3 m/s. Time = 500 ÷ (50/3) = 30 sec. |
| 2 | A train 150 m long is moving at 54 km/h. How long will it take to pass a pole? | 8 sec | 10 sec | 12 sec | 15 sec | B | 54 km/h = 15 m/s. Time = 150 ÷ 15 = 10 sec. |
| 3 | A train 200 m long crosses a 300 m platform in 25 seconds. What is its speed? | 60 km/h | 72 km/h | 80 km/h | 90 km/h | B | Total distance = 500 m. Speed = 500/25 = 20 m/s = 72 km/h. |
| 4 | A train running at 72 km/h crosses a pole in 15 seconds. What is the length of the train? | 250 m | 280 m | 300 m | 320 m | C | 72 km/h = 20 m/s. Length = 20 × 15 = 300 m. |
| 5 | A 180 m train moving at 54 km/h crosses another 120 m train moving in the opposite direction at 36 km/h. How long will they take to cross each other? | 10 sec | 12 sec | 15 sec | 20 sec | B | Relative speed = 54+36 = 90 km/h = 25 m/s. Time = 300/25 = 12 sec. |
| 6 | A 240 m train moving at 72 km/h overtakes a 160 m train moving at 54 km/h in the same direction. Find the time taken. | 12 sec | 14 sec | 16 sec | 20 sec | C | Relative speed = 18 km/h = 5 m/s. Time = 400/5 = 80 sec. |
| 7 | A train 250 m long crosses a 350 m bridge in 30 seconds. What is its speed? | 60 km/h | 72 km/h | 75 km/h | 80 km/h | B | Distance = 600 m. Speed = 600/30 = 20 m/s = 72 km/h. |
| 8 | A train running at 90 km/h crosses a 400 m platform in 24 seconds. What is the length of the train? | 150 m | 180 m | 200 m | 220 m | C | 90 km/h = 25 m/s. Total distance = 25×24 = 600 m. Train length = 600−400 = 200 m. |
| 9 | A train 180 m long crosses a man walking at 6 km/h in the opposite direction in 9 seconds. What is the train’s speed? | 60 km/h | 66 km/h | 72 km/h | 78 km/h | B | Relative speed = 180/9 = 20 m/s = 72 km/h. Train speed = 72−6 = 66 km/h. |
| 10 | A train 300 m long crosses a man walking at 5 km/h in the same direction in 18 seconds. What is the train’s speed? | 55 km/h | 60 km/h | 65 km/h | 70 km/h | C | Relative speed = 300/18 = 16.67 m/s = 60 km/h. Train speed = 60+5 = 65 km/h. |
| 11 | A train takes 20 seconds to pass a pole and 32 seconds to pass a 240 m platform. What is the length of the train? | 300 m | 360 m | 400 m | 480 m | B | Let speed be v. 20v = L and 32v = L+240. Thus 12v=240, v=20 m/s and L=400 m. |
| 12 | A train covers a distance of 1.2 km in 1 minute. What is its speed? | 60 km/h | 72 km/h | 80 km/h | 90 km/h | B | 1200 m/60 s = 20 m/s = 72 km/h. |
| 13 | Two trains of lengths 200 m and 300 m are moving in opposite directions at 54 km/h and 72 km/h. How long will they take to cross each other? | 12 sec | 14 sec | 15 sec | 18 sec | C | Total length = 500 m. Relative speed = 126 km/h = 35 m/s. Time = 500/35 ≈ 14.29 sec, so B is correct. |
| 14 | A train 150 m long moving at 45 km/h crosses a platform in 22 seconds. What is the platform’s length? | 100 m | 110 m | 125 m | 130 m | B | 45 km/h = 12.5 m/s. Total distance = 12.5×22 = 275 m. Platform = 275−150 = 125 m, so C is correct. |
| 15 | A train moving at 108 km/h crosses a pole in 10 seconds. What is the train’s length? | 250 m | 270 m | 300 m | 320 m | C | 108 km/h = 30 m/s. Length = 30×10 = 300 m. |
| 16 | A train 180 m long crosses a platform 220 m long in 20 seconds. What is its speed? | 60 km/h | 72 km/h | 80 km/h | 90 km/h | B | Total distance = 400 m. Speed = 400/20 = 20 m/s = 72 km/h. |
| 17 | A 100 m train passes a pole in 5 seconds. How long will it take to pass a 300 m platform at the same speed? | 15 sec | 18 sec | 20 sec | 25 sec | C | Speed = 100/5 = 20 m/s. Total distance = 400 m. Time = 400/20 = 20 sec. |
| 18 | Two trains of equal length cross each other in 12 seconds while moving in opposite directions at 54 km/h and 36 km/h. What is the length of each train? | 120 m | 140 m | 150 m | 180 m | C | Relative speed = 90 km/h = 25 m/s. Combined length = 25×12 = 300 m. Each = 150 m. |
| 19 | A train crosses a 200 m platform in 20 seconds and a pole in 12 seconds. What is the length of the train? | 250 m | 280 m | 300 m | 320 m | C | Extra 200 m takes 8 sec, so speed = 25 m/s. Train length = 25×12 = 300 m. |
| 20 | A train running at 60 km/h crosses another train of equal length moving in the opposite direction at 40 km/h in 18 seconds. What is the length of each train? | 200 m | 225 m | 250 m | 300 m | C | Relative speed = 100 km/h = 250/9 m/s. Combined length = (250/9)×18 = 500 m. Each train = 250 m. |