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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 554 · 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 boat goes at 13 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 60 km upstream and come back?
  2. 2.Two trains, 240 m and 300 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?
  3. 3.A boat goes 40 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 81 km upstream and come back?
  5. 5.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes at 14 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 66 km upstream and come back?
  7. 7.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  10. 10.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  11. 11.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  12. 12.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  13. 13.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  14. 14.A boat goes at 13 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 24 km upstream and come back?
  15. 15.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 51 km upstream and come back?
  16. 16.A boat goes 46 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  18. 18.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  19. 19.A boat goes 72 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A boat goes at 18 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 96 km upstream and come back?
  21. 21.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  22. 22.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.Two trains, 50 m and 125 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?
  24. 24.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  25. 25.A boat goes 24 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  27. 27.Two trains, 220 m and 140 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?
  28. 28.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  29. 29.A boat goes at 19 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 105 km upstream and come back?
  30. 30.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  31. 31.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  33. 33.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  34. 34.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 96 km upstream and come back?
  35. 35.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  38. 38.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  39. 39.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  40. 40.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?

Answer key

  1. 13
  2. 12
  3. 18
  4. 36
  5. 27
  6. 14
  7. 23
  8. 25
  9. 405
  10. 18
  11. 255
  12. 80
  13. 25
  14. 13
  15. 20
  16. 18
  17. 28
  18. 28
  19. 19
  20. 12
  21. 150
  22. 25
  23. 7
  24. 44
  25. 11
  26. 300
  27. 12
  28. 34
  29. 38
  30. 220
  31. 21
  32. 90
  33. 33
  34. 20
  35. 15
  36. 7
  37. 40
  38. 230
  39. 31
  40. 18

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