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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 829 · 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 115 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  2. 2.A boat goes 92 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes 125 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  5. 5.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 48 km upstream and come back?
  6. 6.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.Two trains, 70 m and 260 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?
  9. 9.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  11. 11.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 80 km upstream and come back?
  12. 12.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  13. 13.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 72 km upstream and come back?
  14. 14.Two trains, 60 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?
  15. 15.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 36 km upstream and come back?
  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.Two trains, 210 m and 105 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  18. 18.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.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 90 km upstream and come back?
  20. 20.A boat goes at 20 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 35 km upstream and come back?
  21. 21.A boat goes 85 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  22. 22.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  23. 23.A boat goes 22 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A boat goes 65 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  25. 25.A boat goes at 18 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 27 km upstream and come back?
  26. 26.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?
  27. 27.Two trains, 60 m and 115 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?
  28. 28.A boat goes 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  29. 29.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  30. 30.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 140 m and 210 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?
  32. 32.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  34. 34.Two trains, 110 m and 70 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?
  35. 35.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  36. 36.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.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 36 km upstream and come back?
  38. 38.A boat goes 40 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  39. 39.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?
  40. 40.Two trains, 230 m and 190 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?

Answer key

  1. 5
  2. 18
  3. 27
  4. 5
  5. 11
  6. 17
  7. 11
  8. 11
  9. 22
  10. 350
  11. 45
  12. 30
  13. 80
  14. 10
  15. 12
  16. 9
  17. 7
  18. 15
  19. 100
  20. 8
  21. 3
  22. 42
  23. 9
  24. 3
  25. 4
  26. 10
  27. 5
  28. 2
  29. 175
  30. 18
  31. 7
  32. 8
  33. 14
  34. 6
  35. 90
  36. 25
  37. 5
  38. 4
  39. 28
  40. 12

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