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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 961 · 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 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  4. 4.A boat goes 85 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A boat goes 54 km downstream in 3 hours and 30 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 22 seconds. How long is the train (in metres)?
  7. 7.A train running at 72 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  8. 8.A boat goes at 16 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 62 km upstream and come back?
  9. 9.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  10. 10.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  11. 11.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  12. 12.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  13. 13.A boat goes at 18 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 102 km upstream and come back?
  14. 14.A boat goes 30 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)?
  15. 15.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  16. 16.A boat goes 52 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  17. 17.Two trains, 150 m and 330 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  18. 18.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  19. 19.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  20. 20.A train 375 m long runs at 54 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 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  22. 22.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 32 km upstream and come back?
  23. 23.A boat goes 63 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  25. 25.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  26. 26.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  27. 27.Two trains, 90 m and 155 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?
  28. 28.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes 66 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  30. 30.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  31. 31.Two trains, 150 m and 70 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?
  32. 32.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 48 km upstream and come back?
  33. 33.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 91 km upstream and come back?
  34. 34.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  36. 36.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  39. 39.A boat goes at 17 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  40. 40.A boat goes 57 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 11
  2. 21
  3. 29
  4. 13
  5. 14
  6. 440
  7. 520
  8. 64
  9. 460
  10. 36
  11. 12
  12. 28
  13. 54
  14. 14
  15. 37
  16. 3
  17. 12
  18. 15
  19. 320
  20. 25
  21. 26
  22. 18
  23. 16
  24. 30
  25. 80
  26. 240
  27. 7
  28. 23
  29. 4
  30. 30
  31. 11
  32. 30
  33. 98
  34. 22
  35. 325
  36. 20
  37. 8
  38. 24
  39. 17
  40. 18

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