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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 868 · 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 20 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 96 km upstream and come back?
  2. 2.A boat goes 52 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  4. 4.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  6. 6.A boat goes 44 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 99 km upstream and come back?
  8. 8.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 60 km upstream and come back?
  9. 9.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  10. 10.A boat goes at 18 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 35 km upstream and come back?
  11. 11.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  12. 12.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  13. 13.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 117 km upstream and come back?
  15. 15.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.Two trains, 60 m and 300 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?
  17. 17.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.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 10 km upstream and come back?
  19. 19.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  20. 20.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  21. 21.A boat goes 28 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.Two trains, 100 m and 380 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  23. 23.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?
  24. 24.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  26. 26.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  27. 27.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes at 12 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 96 km upstream and come back?
  29. 29.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  30. 30.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  31. 31.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  32. 32.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.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?
  34. 34.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  35. 35.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  36. 36.A boat goes at 14 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 26 km upstream and come back?
  37. 37.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  38. 38.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  40. 40.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 10
  2. 11
  3. 29
  4. 12
  5. 16
  6. 8
  7. 42
  8. 21
  9. 29
  10. 36
  11. 70
  12. 24
  13. 7
  14. 48
  15. 11
  16. 12
  17. 23
  18. 6
  19. 28
  20. 26
  21. 6
  22. 12
  23. 18
  24. 24
  25. 225
  26. 18
  27. 26
  28. 18
  29. 30
  30. 3
  31. 20
  32. 22
  33. 12
  34. 15
  35. 425
  36. 14
  37. 180
  38. 5
  39. 250
  40. 16

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