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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 476 · 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 48 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  4. 4.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 24 km upstream and come back?
  5. 5.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  6. 6.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 105 km upstream and come back?
  7. 7.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  8. 8.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  9. 9.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes at 20 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 96 km upstream and come back?
  11. 11.A boat goes at 16 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 90 km upstream and come back?
  12. 12.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  13. 13.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  14. 14.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)?
  15. 15.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes 44 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  17. 17.Two trains, 120 m and 195 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?
  18. 18.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 100 m and 110 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?
  20. 20.A boat goes 30 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)?
  21. 21.A boat goes 76 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.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?
  23. 23.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  24. 24.A boat goes 85 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  25. 25.A boat goes at 20 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 114 km upstream and come back?
  26. 26.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 48 km upstream and come back?
  27. 27.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 44 km upstream and come back?
  28. 28.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  29. 29.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 24 km upstream and come back?
  30. 30.Two trains, 50 m and 200 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?
  31. 31.A boat goes 24 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)?
  32. 32.Two trains, 130 m and 365 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?
  33. 33.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  36. 36.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes 68 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  39. 39.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 15
  2. 8
  3. 400
  4. 7
  5. 750
  6. 36
  7. 25
  8. 32
  9. 15
  10. 10
  11. 48
  12. 725
  13. 38
  14. 9
  15. 9
  16. 5
  17. 9
  18. 24
  19. 7
  20. 11
  21. 17
  22. 18
  23. 220
  24. 4
  25. 60
  26. 27
  27. 24
  28. 110
  29. 9
  30. 5
  31. 10
  32. 11
  33. 12
  34. 29
  35. 27
  36. 6
  37. 13
  38. 1
  39. 7
  40. 18

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