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Q1. A train 280 metres long is running at 72 km/hr. How long will it take to cross a platform 100 metres long?
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Answer: D
Let train length L = 280 m and platform length P = 100 m. Train speed = 72 km/hr; convert to m/sec: 72 x 5/18 = 20 m/sec. To fully cross the platform, the train covers its own length plus the platform’s length. Distance = L + P = 280 + 100 = 380 m. Time = distance / speed = 380/20 = 19 seconds. Check: 20 m/sec x 19 sec = 380 m, which matches L + P.
Related topics: Problems on Trains: Formulas, Shortcuts and Solved Examples
Q2. A train 140 metres long is running at 144 km/hr. How long will it take to cross a platform 140 metres long?
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Answer: C
Let train length L = 140 m and platform length P = 140 m. Train speed = 144 km/hr; convert to m/sec: 144 x 5/18 = 40 m/sec. To fully cross the platform, the train covers its own length plus the platform’s length. Distance = L + P = 140 + 140 = 280 m. Time = distance / speed = 280/40 = 7 seconds. Check: 40 m/sec x 7 sec = 280 m, which matches L + P.
Related topics: Problems on Trains: Formulas, Shortcuts and Solved Examples
Q3. A train 120 metres long is running at 72 km/hr. How long will it take to cross a platform 40 metres long?
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Answer: D
Let train length L = 120 m and platform length P = 40 m. Train speed = 72 km/hr; convert to m/sec: 72 x 5/18 = 20 m/sec. To fully cross the platform, the train covers its own length plus the platform’s length. Distance = L + P = 120 + 40 = 160 m. Time = distance / speed = 160/20 = 8 seconds. Check: 20 m/sec x 8 sec = 160 m, which matches L + P.
Related topics: Problems on Trains: Formulas, Shortcuts and Solved Examples
Q4. A train 150 metres long is running at 72 km/hr. How long will it take to cross a platform 70 metres long?
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Answer: B
Let train length L = 150 m and platform length P = 70 m. Train speed = 72 km/hr; convert to m/sec: 72 x 5/18 = 20 m/sec. To fully cross the platform, the train covers its own length plus the platform’s length. Distance = L + P = 150 + 70 = 220 m. Time = distance / speed = 220/20 = 11 seconds. Check: 20 m/sec x 11 sec = 220 m, which matches L + P.
Related topics: Problems on Trains: Formulas, Shortcuts and Solved Examples
Q5. A train 140 metres long is running at 36 km/hr. How long will it take to cross a platform 160 metres long?
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Answer: A
Let train length L = 140 m and platform length P = 160 m. Train speed = 36 km/hr; convert to m/sec: 36 x 5/18 = 10 m/sec. To fully cross the platform, the train covers its own length plus the platform’s length. Distance = L + P = 140 + 160 = 300 m. Time = distance / speed = 300/10 = 30 seconds. Check: 10 m/sec x 30 sec = 300 m, which matches L + P.
Related topics: Problems on Trains: Formulas, Shortcuts and Solved Examples
Q6. A train 80 metres long is running at 36 km/hr. How long will it take to cross a platform 240 metres long?
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Answer: C
Let train length L = 80 m and platform length P = 240 m. Train speed = 36 km/hr; convert to m/sec: 36 x 5/18 = 10 m/sec. To fully cross the platform, the train covers its own length plus the platform’s length. Distance = L + P = 80 + 240 = 320 m. Time = distance / speed = 320/10 = 32 seconds. Check: 10 m/sec x 32 sec = 320 m, which matches L + P.
Related topics: Problems on Trains: Formulas, Shortcuts and Solved Examples
Q7. A train 75 metres long is running at 54 km/hr. How long will it take to cross a platform 240 metres long?
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Answer: C
Let train length L = 75 m and platform length P = 240 m. Train speed = 54 km/hr; convert to m/sec: 54 x 5/18 = 15 m/sec. To fully cross the platform, the train covers its own length plus the platform’s length. Distance = L + P = 75 + 240 = 315 m. Time = distance / speed = 315/15 = 21 seconds. Check: 15 m/sec x 21 sec = 315 m, which matches L + P.
Related topics: Problems on Trains: Formulas, Shortcuts and Solved Examples
Q8. A train 150 metres long is running at 108 km/hr. How long will it take to cross a platform 210 metres long?
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Answer: A
Let train length L = 150 m and platform length P = 210 m. Train speed = 108 km/hr; convert to m/sec: 108 x 5/18 = 30 m/sec. To fully cross the platform, the train covers its own length plus the platform’s length. Distance = L + P = 150 + 210 = 360 m. Time = distance / speed = 360/30 = 12 seconds. Check: 30 m/sec x 12 sec = 360 m, which matches L + P.
Related topics: Problems on Trains: Formulas, Shortcuts and Solved Examples
Q9. A train 70 metres long is running at 36 km/hr. How long will it take to cross a platform 220 metres long?
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Answer: B
Let train length L = 70 m and platform length P = 220 m. Train speed = 36 km/hr; convert to m/sec: 36 x 5/18 = 10 m/sec. To fully cross the platform, the train covers its own length plus the platform’s length. Distance = L + P = 70 + 220 = 290 m. Time = distance / speed = 290/10 = 29 seconds. Check: 10 m/sec x 29 sec = 290 m, which matches L + P.
Related topics: Problems on Trains: Formulas, Shortcuts and Solved Examples
Q10. A train 760 metres long is running at 144 km/hr. How long will it take to cross a platform 160 metres long?
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Answer: D
Let train length L = 760 m and platform length P = 160 m. Train speed = 144 km/hr; convert to m/sec: 144 x 5/18 = 40 m/sec. To fully cross the platform, the train covers its own length plus the platform’s length. Distance = L + P = 760 + 160 = 920 m. Time = distance / speed = 920/40 = 23 seconds. Check: 40 m/sec x 23 sec = 920 m, which matches L + P.
Related topics: Problems on Trains: Formulas, Shortcuts and Solved Examples
Q11. A train 130 metres long is running at a speed of 36 km/hr. How long will it take to pass a man standing near the railway line?
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Answer: A
Let train length L = 130 m and train speed = 36 km/hr. Convert speed to m/sec: 36 x 5/18 = 10 m/sec. To pass a stationary man, the train only needs to cover its own length. So distance to cover = L = 130 m. Time = distance / speed = 130/10 = 13 seconds. Check: 10 m/sec x 13 sec = 130 m, which matches L.
Related topics: Problems on Trains: Formulas, Shortcuts and Solved Examples
Q12. A train 350 metres long is running at a speed of 90 km/hr. How long will it take to pass a man standing near the railway line?
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Answer: B
Let train length L = 350 m and train speed = 90 km/hr. Convert speed to m/sec: 90 x 5/18 = 25 m/sec. To pass a stationary man, the train only needs to cover its own length. So distance to cover = L = 350 m. Time = distance / speed = 350/25 = 14 seconds. Check: 25 m/sec x 14 sec = 350 m, which matches L.
Related topics: Problems on Trains: Formulas, Shortcuts and Solved Examples
Q13. A train 210 metres long is running at a speed of 54 km/hr. How long will it take to pass a man standing near the railway line?
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Answer: C
Let train length L = 210 m and train speed = 54 km/hr. Convert speed to m/sec: 54 x 5/18 = 15 m/sec. To pass a stationary man, the train only needs to cover its own length. So distance to cover = L = 210 m. Time = distance / speed = 210/15 = 14 seconds. Check: 15 m/sec x 14 sec = 210 m, which matches L.
Related topics: Problems on Trains: Formulas, Shortcuts and Solved Examples
Q14. A train 200 metres long is running at a speed of 36 km/hr. How long will it take to pass a man standing near the railway line?
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Answer: D
Let train length L = 200 m and train speed = 36 km/hr. Convert speed to m/sec: 36 x 5/18 = 10 m/sec. To pass a stationary man, the train only needs to cover its own length. So distance to cover = L = 200 m. Time = distance / speed = 200/10 = 20 seconds. Check: 10 m/sec x 20 sec = 200 m, which matches L.
Related topics: Problems on Trains: Formulas, Shortcuts and Solved Examples
Q15. A train 220 metres long is running at a speed of 36 km/hr. How long will it take to pass a man standing near the railway line?
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Answer: A
Let train length L = 220 m and train speed = 36 km/hr. Convert speed to m/sec: 36 x 5/18 = 10 m/sec. To pass a stationary man, the train only needs to cover its own length. So distance to cover = L = 220 m. Time = distance / speed = 220/10 = 22 seconds. Check: 10 m/sec x 22 sec = 220 m, which matches L.
Related topics: Problems on Trains: Formulas, Shortcuts and Solved Examples
Q16. A train 280 metres long is running at a speed of 72 km/hr. How long will it take to pass a man standing near the railway line?
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Answer: D
Let train length L = 280 m and train speed = 72 km/hr. Convert speed to m/sec: 72 x 5/18 = 20 m/sec. To pass a stationary man, the train only needs to cover its own length. So distance to cover = L = 280 m. Time = distance / speed = 280/20 = 14 seconds. Check: 20 m/sec x 14 sec = 280 m, which matches L.
Related topics: Problems on Trains: Formulas, Shortcuts and Solved Examples
Q17. A train 510 metres long is running at a speed of 108 km/hr. How long will it take to pass a man standing near the railway line?
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Answer: C
Let train length L = 510 m and train speed = 108 km/hr. Convert speed to m/sec: 108 x 5/18 = 30 m/sec. To pass a stationary man, the train only needs to cover its own length. So distance to cover = L = 510 m. Time = distance / speed = 510/30 = 17 seconds. Check: 30 m/sec x 17 sec = 510 m, which matches L.
Related topics: Problems on Trains: Formulas, Shortcuts and Solved Examples
Q18. A train 165 metres long is running at a speed of 54 km/hr. How long will it take to pass a man standing near the railway line?
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Answer: B
Let train length L = 165 m and train speed = 54 km/hr. Convert speed to m/sec: 54 x 5/18 = 15 m/sec. To pass a stationary man, the train only needs to cover its own length. So distance to cover = L = 165 m. Time = distance / speed = 165/15 = 11 seconds. Check: 15 m/sec x 11 sec = 165 m, which matches L.
Related topics: Problems on Trains: Formulas, Shortcuts and Solved Examples
Q19. A train 875 metres long is running at a speed of 126 km/hr. How long will it take to pass a man standing near the railway line?
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Answer: B
Let train length L = 875 m and train speed = 126 km/hr. Convert speed to m/sec: 126 x 5/18 = 35 m/sec. To pass a stationary man, the train only needs to cover its own length. So distance to cover = L = 875 m. Time = distance / speed = 875/35 = 25 seconds. Check: 35 m/sec x 25 sec = 875 m, which matches L.
Related topics: Problems on Trains: Formulas, Shortcuts and Solved Examples
Q20. A train 385 metres long is running at a speed of 126 km/hr. How long will it take to pass a man standing near the railway line?
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Answer: D
Let train length L = 385 m and train speed = 126 km/hr. Convert speed to m/sec: 126 x 5/18 = 35 m/sec. To pass a stationary man, the train only needs to cover its own length. So distance to cover = L = 385 m. Time = distance / speed = 385/35 = 11 seconds. Check: 35 m/sec x 11 sec = 385 m, which matches L.
Related topics: Problems on Trains: Formulas, Shortcuts and Solved Examples
Q21. A train 720 metres long is running at a speed of 108 km/hr. How long will it take to pass a man standing near the railway line?
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Answer: A
Let train length L = 720 m and train speed = 108 km/hr. Convert speed to m/sec: 108 x 5/18 = 30 m/sec. To pass a stationary man, the train only needs to cover its own length. So distance to cover = L = 720 m. Time = distance / speed = 720/30 = 24 seconds. Check: 30 m/sec x 24 sec = 720 m, which matches L.
Related topics: Problems on Trains: Formulas, Shortcuts and Solved Examples
Q22. A train 200 metres long is running at a speed of 90 km/hr. How long will it take to pass a man standing near the railway line?
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Answer: C
Let train length L = 200 m and train speed = 90 km/hr. Convert speed to m/sec: 90 x 5/18 = 25 m/sec. To pass a stationary man, the train only needs to cover its own length. So distance to cover = L = 200 m. Time = distance / speed = 200/25 = 8 seconds. Check: 25 m/sec x 8 sec = 200 m, which matches L.
Related topics: Problems on Trains: Formulas, Shortcuts and Solved Examples