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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 999 · 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.

NameDateTime takenScore ___ / 40
  1. 1.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  2. 2.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 20 km upstream and come back?
  3. 3.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  4. 4.A boat goes 52 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  5. 5.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  6. 6.Two trains, 180 m and 300 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  7. 7.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  8. 8.Two trains, 100 m and 75 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  9. 9.A boat goes 40 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  11. 11.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  12. 12.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 34 km upstream and come back?
  13. 13.Two trains, 80 m and 305 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  14. 14.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  16. 16.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  18. 18.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  20. 20.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  21. 21.A boat goes at 17 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 33 km upstream and come back?
  22. 22.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  23. 23.Two trains, 70 m and 70 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  24. 24.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  25. 25.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  26. 26.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  27. 27.Two trains, 120 m and 80 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  28. 28.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  29. 29.A boat goes 28 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  31. 31.A boat goes at 14 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  32. 32.A boat goes 27 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  33. 33.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  34. 34.Two trains, 240 m and 75 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?
  35. 35.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  36. 36.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes at 20 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 70 km upstream and come back?
  39. 39.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 48 km upstream and come back?
  40. 40.Two trains, 130 m and 230 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?

Answer key

  1. 90
  2. 12
  3. 28
  4. 4
  5. 19
  6. 12
  7. 21
  8. 7
  9. 6
  10. 6
  11. 240
  12. 36
  13. 11
  14. 18
  15. 140
  16. 19
  17. 29
  18. 23
  19. 260
  20. 70
  21. 34
  22. 160
  23. 4
  24. 330
  25. 28
  26. 19
  27. 10
  28. 190
  29. 9
  30. 33
  31. 14
  32. 2
  33. 345
  34. 7
  35. 460
  36. 6
  37. 30
  38. 16
  39. 14
  40. 9

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