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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 669 · 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 18 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A boat goes 48 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  3. 3.Two trains, 100 m and 80 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?
  4. 4.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  6. 6.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  7. 7.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  9. 9.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  10. 10.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes 63 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.Two trains, 90 m and 90 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?
  13. 13.Two trains, 90 m and 150 m long, run towards each other on side-by-side tracks at 72 km/h and 72 km/h. How many seconds do they take to cross each other?
  14. 14.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  16. 16.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?
  17. 17.Two trains, 80 m and 195 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?
  18. 18.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  19. 19.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?
  20. 20.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes 36 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  25. 25.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 90 km upstream and come back?
  26. 26.A boat goes 40 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  27. 27.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  28. 28.A boat goes at 18 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 90 km upstream and come back?
  29. 29.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  30. 30.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 102 km upstream and come back?
  31. 31.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 66 km upstream and come back?
  32. 32.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?
  33. 33.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 36 km upstream and come back?
  34. 34.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?
  35. 35.A boat goes 63 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  37. 37.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes at 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 100 km upstream and come back?
  40. 40.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 6
  2. 4
  3. 6
  4. 5
  5. 240
  6. 90
  7. 10
  8. 315
  9. 17
  10. 12
  11. 18
  12. 6
  13. 6
  14. 13
  15. 18
  16. 12
  17. 11
  18. 31
  19. 44
  20. 12
  21. 18
  22. 7
  23. 9
  24. 550
  25. 16
  26. 3
  27. 29
  28. 18
  29. 16
  30. 40
  31. 36
  32. 20
  33. 40
  34. 17
  35. 17
  36. 24
  37. 18
  38. 7
  39. 30
  40. 19

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