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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 797 · 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 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 40 km upstream and come back?
  2. 2.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 120 m and 100 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?
  4. 4.A boat goes at 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 75 km upstream and come back?
  5. 5.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 33 km upstream and come back?
  6. 6.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes 27 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  8. 8.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 450 m long runs at 54 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 19 seconds. How long is the train (in metres)?
  11. 11.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  13. 13.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  14. 14.Two trains, 140 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?
  15. 15.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.Two trains, 210 m and 230 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?
  17. 17.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  19. 19.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  20. 20.Two trains, 130 m and 320 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?
  21. 21.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  22. 22.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  25. 25.A train running at 90 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  26. 26.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 575 m long?
  28. 28.A boat goes 84 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  30. 30.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 117 km upstream and come back?
  31. 31.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  32. 32.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  33. 33.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  34. 34.A boat goes at 17 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 120 km upstream and come back?
  35. 35.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  36. 36.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  37. 37.A boat goes 52 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  40. 40.A boat goes at 16 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 31 km upstream and come back?

Answer key

  1. 9
  2. 8
  3. 11
  4. 78
  5. 14
  6. 19
  7. 6
  8. 14
  9. 30
  10. 475
  11. 12
  12. 33
  13. 35
  14. 7
  15. 24
  16. 11
  17. 28
  18. 280
  19. 200
  20. 10
  21. 22
  22. 10
  23. 11
  24. 38
  25. 400
  26. 19
  27. 31
  28. 3
  29. 33
  30. 48
  31. 26
  32. 12
  33. 120
  34. 17
  35. 26
  36. 24
  37. 1
  38. 23
  39. 27
  40. 32

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