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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 659 · 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 32 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A boat goes at 15 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 25 km upstream and come back?
  3. 3.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 22 km upstream and come back?
  4. 4.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 38 km upstream and come back?
  6. 6.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  7. 7.Two trains, 110 m and 100 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?
  8. 8.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  9. 9.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  10. 10.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 105 km upstream and come back?
  11. 11.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  12. 12.Two trains, 50 m and 225 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?
  13. 13.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  14. 14.Two trains, 70 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?
  15. 15.A boat goes 50 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  16. 16.A boat goes 14 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  17. 17.Two trains, 130 m and 185 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?
  18. 18.Two trains, 150 m and 60 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?
  19. 19.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  20. 20.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 60 km upstream and come back?
  21. 21.A boat goes at 18 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 105 km upstream and come back?
  22. 22.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)?
  23. 23.A boat goes at 15 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 104 km upstream and come back?
  24. 24.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.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 66 km upstream and come back?
  27. 27.Two trains, 100 m and 340 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?
  28. 28.Two trains, 230 m and 100 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?
  29. 29.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  31. 31.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  32. 32.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  33. 33.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  34. 34.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  35. 35.A boat goes 52 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  36. 36.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.Two trains, 70 m and 90 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?
  38. 38.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  39. 39.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  40. 40.A boat goes at 11 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 96 km upstream and come back?

Answer key

  1. 11
  2. 6
  3. 24
  4. 23
  5. 40
  6. 29
  7. 7
  8. 210
  9. 200
  10. 50
  11. 13
  12. 11
  13. 24
  14. 6
  15. 1
  16. 1
  17. 9
  18. 6
  19. 30
  20. 20
  21. 12
  22. 13
  23. 30
  24. 22
  25. 7
  26. 28
  27. 11
  28. 11
  29. 6
  30. 360
  31. 275
  32. 360
  33. 31
  34. 29
  35. 2
  36. 27
  37. 8
  38. 5
  39. 345
  40. 22

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