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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 819 · 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 84 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)?
  2. 2.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  3. 3.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  4. 4.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  5. 5.A boat goes 125 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  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 35 km upstream and come back?
  7. 7.A boat goes 26 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)?
  8. 8.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  9. 9.A boat goes 64 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  10. 10.Two trains, 160 m and 50 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?
  11. 11.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes 63 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  13. 13.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  14. 14.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.Two trains, 80 m and 140 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  16. 16.Two trains, 230 m and 50 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?
  17. 17.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 52 km upstream and come back?
  18. 18.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  20. 20.A boat goes at 17 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 104 km upstream and come back?
  21. 21.Two trains, 140 m and 80 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  22. 22.A boat goes 84 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A boat goes 32 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  24. 24.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 55 km upstream and come back?
  25. 25.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  26. 26.Two trains, 50 m and 130 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?
  27. 27.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?
  28. 28.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes at 11 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 60 km upstream and come back?
  30. 30.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 117 km upstream and come back?
  31. 31.A boat goes 20 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.Two trains, 140 m and 245 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?
  34. 34.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  36. 36.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  37. 37.A boat goes 115 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  39. 39.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.Two trains, 80 m and 235 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?

Answer key

  1. 18
  2. 36
  3. 150
  4. 24
  5. 20
  6. 12
  7. 8
  8. 240
  9. 1
  10. 6
  11. 12
  12. 5
  13. 60
  14. 7
  15. 11
  16. 7
  17. 56
  18. 28
  19. 130
  20. 17
  21. 11
  22. 16
  23. 2
  24. 16
  25. 34
  26. 4
  27. 18
  28. 10
  29. 11
  30. 52
  31. 7
  32. 16
  33. 11
  34. 18
  35. 450
  36. 30
  37. 3
  38. 39
  39. 24
  40. 9

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