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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 853 · 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 15 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 72 km upstream and come back?
  2. 2.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  3. 3.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  4. 4.A boat goes 105 km downstream in 5 hours and 95 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  5. 5.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  6. 6.Two trains, 60 m and 270 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?
  7. 7.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes 30 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.Two trains, 220 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?
  10. 10.A boat goes at 11 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 105 km upstream and come back?
  11. 11.A boat goes 55 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)?
  12. 12.Two trains, 80 m and 200 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?
  13. 13.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  16. 16.A boat goes at 18 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 80 km upstream and come back?
  17. 17.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  18. 18.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 90 m and 260 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?
  20. 20.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  21. 21.Two trains, 90 m and 135 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  22. 22.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  23. 23.Two trains, 70 m and 330 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  24. 24.A boat goes 42 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  25. 25.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 44 km upstream and come back?
  27. 27.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  28. 28.A boat goes 52 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  30. 30.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?
  31. 31.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  32. 32.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?
  33. 33.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  34. 34.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.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 16 km upstream and come back?
  36. 36.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  37. 37.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  38. 38.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.Two trains, 90 m and 120 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?
  40. 40.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?

Answer key

  1. 10
  2. 135
  3. 440
  4. 1
  5. 540
  6. 11
  7. 21
  8. 7
  9. 10
  10. 22
  11. 10
  12. 8
  13. 13
  14. 8
  15. 250
  16. 9
  17. 33
  18. 17
  19. 7
  20. 39
  21. 5
  22. 480
  23. 10
  24. 5
  25. 27
  26. 13
  27. 180
  28. 11
  29. 35
  30. 18
  31. 38
  32. 28
  33. 625
  34. 24
  35. 9
  36. 37
  37. 600
  38. 17
  39. 6
  40. 40

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