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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 400 · 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 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  3. 3.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 30 km upstream and come back?
  4. 4.A boat goes 45 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  5. 5.Two trains, 250 m and 135 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  6. 6.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.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 81 km upstream and come back?
  8. 8.A boat goes at 20 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 75 km upstream and come back?
  9. 9.A boat goes 60 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  10. 10.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  11. 11.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  12. 12.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  13. 13.A boat goes 105 km downstream in 5 hours and 95 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  15. 15.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  19. 19.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  20. 20.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.Two trains, 140 m and 210 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  22. 22.A boat goes at 8 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?
  23. 23.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 104 km upstream and come back?
  24. 24.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  25. 25.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  27. 27.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes 30 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  29. 29.A boat goes 27 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  31. 31.A boat goes at 12 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 84 km upstream and come back?
  32. 32.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?
  33. 33.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  34. 34.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  35. 35.A boat goes 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  36. 36.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  37. 37.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 120 km upstream and come back?
  38. 38.A boat goes 30 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  40. 40.A boat goes 84 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 14
  2. 34
  3. 32
  4. 2
  5. 11
  6. 7
  7. 90
  8. 8
  9. 4
  10. 34
  11. 26
  12. 675
  13. 20
  14. 80
  15. 11
  16. 19
  17. 28
  18. 450
  19. 30
  20. 12
  21. 10
  22. 32
  23. 112
  24. 35
  25. 19
  26. 22
  27. 9
  28. 2
  29. 6
  30. 460
  31. 32
  32. 13
  33. 34
  34. 20
  35. 2
  36. 255
  37. 35
  38. 11
  39. 20
  40. 17

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