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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 449 · 40 questions
TalentJR

The method (Length and relative speed): Change km/h to m/s (× 5/18) when lengths are in metres and time in seconds. Pole: time = train length ÷ speed. Platform: (train + platform) ÷ speed. Towards each other: add the speeds; same direction: take them away. Cover both lengths. Downstream = boat + stream; upstream = boat − stream. Boat = (down + up) ÷ 2; stream = (down − up) ÷ 2.

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  1. 1.Two trains, 250 m and 50 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  2. 2.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  3. 3.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.Two trains, 150 m and 165 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  5. 5.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes 95 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  11. 11.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  12. 12.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  13. 13.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 110 km upstream and come back?
  14. 14.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  15. 15.Two trains, 120 m and 55 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  16. 16.A boat goes 42 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  19. 19.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  20. 20.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  21. 21.Two trains, 80 m and 95 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  22. 22.Two trains, 230 m and 310 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  23. 23.Two trains, 50 m and 160 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  24. 24.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  25. 25.Two trains, 80 m and 130 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  26. 26.A boat goes 34 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  27. 27.A boat goes 18 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes at 18 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 27 km upstream and come back?
  30. 30.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 45 km upstream and come back?
  33. 33.A boat goes 100 km downstream in 5 hours and 90 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A boat goes 80 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.Two trains, 230 m and 190 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  36. 36.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  37. 37.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  39. 39.Two trains, 170 m and 370 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  40. 40.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 40 km upstream and come back?

Answer key

  1. 12
  2. 18
  3. 24
  4. 9
  5. 22
  6. 30
  7. 16
  8. 6
  9. 6
  10. 500
  11. 560
  12. 460
  13. 120
  14. 23
  15. 5
  16. 10
  17. 5
  18. 23
  19. 27
  20. 520
  21. 5
  22. 12
  23. 6
  24. 24
  25. 7
  26. 2
  27. 6
  28. 30
  29. 4
  30. 20
  31. 19
  32. 50
  33. 19
  34. 19
  35. 12
  36. 16
  37. 22
  38. 290
  39. 12
  40. 24

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