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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 390 · 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 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  3. 3.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes at 12 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?
  5. 5.Two trains, 50 m and 350 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?
  6. 6.A boat goes at 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  7. 7.A boat goes 50 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  8. 8.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  9. 9.A boat goes 40 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A boat goes 32 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  11. 11.A train running at 90 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  12. 12.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 75 km upstream and come back?
  13. 13.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.Two trains, 170 m and 110 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.Two trains, 140 m and 140 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?
  16. 16.A boat goes at 15 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 40 km upstream and come back?
  17. 17.A boat goes 28 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  18. 18.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  23. 23.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  24. 24.A boat goes at 16 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 120 km upstream and come back?
  25. 25.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  26. 26.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  27. 27.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  28. 28.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes 115 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.Two trains, 90 m and 330 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?
  31. 31.A train running at 36 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  32. 32.A boat goes at 12 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?
  33. 33.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?
  34. 34.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 112 km upstream and come back?
  37. 37.Two trains, 130 m and 115 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?
  38. 38.A boat goes 22 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)?
  39. 39.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  40. 40.Two trains, 220 m and 140 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?

Answer key

  1. 19
  2. 405
  3. 29
  4. 18
  5. 10
  6. 7
  7. 3
  8. 28
  9. 18
  10. 1
  11. 375
  12. 80
  13. 20
  14. 8
  15. 8
  16. 6
  17. 1
  18. 10
  19. 5
  20. 14
  21. 10
  22. 210
  23. 275
  24. 16
  25. 225
  26. 17
  27. 33
  28. 21
  29. 18
  30. 12
  31. 50
  32. 8
  33. 7
  34. 12
  35. 26
  36. 36
  37. 7
  38. 10
  39. 36
  40. 9

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