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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 788 · 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 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  2. 2.A boat goes 44 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A boat goes at 17 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 104 km upstream and come back?
  4. 4.Two trains, 150 m and 250 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?
  5. 5.A boat goes 45 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  7. 7.Two trains, 60 m and 215 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?
  8. 8.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  11. 11.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 9 km upstream and come back?
  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 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  16. 16.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  17. 17.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  18. 18.A boat goes 42 km downstream in 2 hours and 38 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A boat goes at 18 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 112 km upstream and come back?
  20. 20.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  22. 22.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?
  23. 23.A boat goes 96 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  25. 25.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  26. 26.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  27. 27.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 16 km upstream and come back?
  28. 28.Two trains, 210 m and 210 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?
  29. 29.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  31. 31.Two trains, 110 m and 65 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?
  32. 32.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  33. 33.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 105 km upstream and come back?
  34. 34.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  36. 36.A boat goes 95 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  37. 37.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 81 km upstream and come back?
  38. 38.A boat goes at 12 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 95 km upstream and come back?
  39. 39.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes at 17 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 93 km upstream and come back?

Answer key

  1. 160
  2. 17
  3. 17
  4. 10
  5. 12
  6. 460
  7. 11
  8. 10
  9. 8
  10. 29
  11. 10
  12. 80
  13. 12
  14. 30
  15. 20
  16. 16
  17. 14
  18. 20
  19. 18
  20. 6
  21. 13
  22. 38
  23. 19
  24. 18
  25. 30
  26. 675
  27. 9
  28. 12
  29. 11
  30. 110
  31. 5
  32. 15
  33. 36
  34. 23
  35. 32
  36. 15
  37. 12
  38. 24
  39. 5
  40. 34

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