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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 372 · 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 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  2. 2.Two trains, 100 m and 110 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  3. 3.A boat goes 100 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  4. 4.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  5. 5.Two trains, 110 m and 90 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  6. 6.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  7. 7.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  8. 8.Two trains, 170 m and 105 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?
  9. 9.A boat goes 48 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  11. 11.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)?
  12. 12.A boat goes 68 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  14. 14.A boat goes 80 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  15. 15.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 110 km upstream and come back?
  16. 16.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 40 km upstream and come back?
  17. 17.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  19. 19.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 96 km upstream and come back?
  20. 20.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  21. 21.A boat goes at 11 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 114 km upstream and come back?
  22. 22.Two trains, 250 m and 135 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?
  23. 23.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.Two trains, 100 m and 110 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  25. 25.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  26. 26.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  27. 27.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 23 km upstream and come back?
  28. 28.A boat goes 80 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  30. 30.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  31. 31.A boat goes at 14 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 115 km upstream and come back?
  32. 32.A boat goes 36 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  34. 34.Two trains, 80 m and 160 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  35. 35.A train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  36. 36.A boat goes at 17 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 84 km upstream and come back?
  37. 37.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  38. 38.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  39. 39.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes 52 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?

Answer key

  1. 18
  2. 7
  3. 4
  4. 33
  5. 8
  6. 625
  7. 24
  8. 11
  9. 8
  10. 17
  11. 3
  12. 16
  13. 725
  14. 3
  15. 60
  16. 9
  17. 14
  18. 41
  19. 52
  20. 16
  21. 44
  22. 11
  23. 12
  24. 7
  25. 110
  26. 30
  27. 24
  28. 13
  29. 340
  30. 24
  31. 28
  32. 10
  33. 11
  34. 8
  35. 80
  36. 17
  37. 575
  38. 16
  39. 11
  40. 12

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