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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 955 · 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 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 105 km upstream and come back?
  2. 2.Two trains, 70 m and 110 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?
  3. 3.Two trains, 50 m and 190 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?
  4. 4.A boat goes 32 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.Two trains, 170 m and 105 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  6. 6.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  7. 7.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.Two trains, 130 m and 230 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?
  11. 11.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  12. 12.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  15. 15.A boat goes 50 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  16. 16.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?
  17. 17.A boat goes 88 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.Two trains, 160 m and 65 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  19. 19.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  20. 20.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  22. 22.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  24. 24.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  28. 28.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  29. 29.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes at 12 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 95 km upstream and come back?
  31. 31.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 64 km upstream and come back?
  32. 32.A train 290 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  34. 34.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  35. 35.A boat goes 56 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.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 60 km upstream and come back?
  37. 37.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  38. 38.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 96 km upstream and come back?
  39. 39.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  40. 40.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 96 km upstream and come back?

Answer key

  1. 110
  2. 4
  3. 8
  4. 7
  5. 11
  6. 30
  7. 23
  8. 9
  9. 28
  10. 12
  11. 34
  12. 28
  13. 19
  14. 30
  15. 2
  16. 9
  17. 19
  18. 9
  19. 32
  20. 7
  21. 180
  22. 30
  23. 450
  24. 7
  25. 9
  26. 5
  27. 30
  28. 45
  29. 10
  30. 24
  31. 40
  32. 29
  33. 30
  34. 39
  35. 12
  36. 64
  37. 425
  38. 36
  39. 34
  40. 20

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