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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 680 · 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 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 80 km upstream and come back?
  2. 2.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 100 m and 350 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  4. 4.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  5. 5.Two trains, 170 m and 145 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  6. 6.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  7. 7.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  8. 8.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  9. 9.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 45 km upstream and come back?
  10. 10.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 100 km upstream and come back?
  11. 11.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  12. 12.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  14. 14.Two trains, 110 m and 65 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?
  15. 15.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  16. 16.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  18. 18.A boat goes at 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 100 km upstream and come back?
  19. 19.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  21. 21.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  22. 22.A boat goes 64 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  24. 24.Two trains, 170 m and 250 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?
  25. 25.A boat goes 30 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  27. 27.A boat goes 90 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  28. 28.Two trains, 60 m and 255 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?
  29. 29.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 75 km upstream and come back?
  30. 30.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  32. 32.A boat goes 34 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 60 km upstream and come back?
  35. 35.A boat goes 51 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)?
  36. 36.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  37. 37.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  38. 38.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?
  39. 39.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.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?

Answer key

  1. 24
  2. 5
  3. 9
  4. 540
  5. 9
  6. 15
  7. 25
  8. 19
  9. 20
  10. 35
  11. 200
  12. 25
  13. 24
  14. 5
  15. 23
  16. 23
  17. 230
  18. 104
  19. 29
  20. 300
  21. 19
  22. 13
  23. 150
  24. 12
  25. 12
  26. 36
  27. 16
  28. 9
  29. 30
  30. 27
  31. 21
  32. 15
  33. 27
  34. 16
  35. 16
  36. 165
  37. 340
  38. 28
  39. 30
  40. 44

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