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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 62 · 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 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 36 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A boat goes at 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 84 km upstream and come back?
  4. 4.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)?
  5. 5.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes 51 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  9. 9.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  10. 10.A boat goes 92 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A boat goes at 20 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 84 km upstream and come back?
  12. 12.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  14. 14.A boat goes 22 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  15. 15.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  17. 17.A boat goes 32 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A boat goes 52 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  19. 19.A boat goes 52 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)?
  20. 20.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  21. 21.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 112 km upstream and come back?
  22. 22.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  23. 23.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)?
  24. 24.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes 36 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  26. 26.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 56 km upstream and come back?
  27. 27.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  28. 28.Two trains, 200 m and 160 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?
  29. 29.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.Two trains, 130 m and 200 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?
  31. 31.Two trains, 150 m and 270 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  32. 32.Two trains, 150 m and 150 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?
  33. 33.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.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 100 km upstream and come back?
  35. 35.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  36. 36.A boat goes 38 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  37. 37.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  38. 38.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  39. 39.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.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)?

Answer key

  1. 19
  2. 16
  3. 20
  4. 11
  5. 5
  6. 9
  7. 13
  8. 21
  9. 220
  10. 20
  11. 10
  12. 18
  13. 28
  14. 1
  15. 13
  16. 41
  17. 12
  18. 4
  19. 9
  20. 36
  21. 63
  22. 28
  23. 14
  24. 13
  25. 4
  26. 18
  27. 16
  28. 12
  29. 6
  30. 11
  31. 12
  32. 10
  33. 16
  34. 24
  35. 25
  36. 4
  37. 40
  38. 12
  39. 25
  40. 4

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