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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 373 · 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 9 km/h. How many hours does the boat take to go 80 km upstream and come back?
  2. 2.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 110 m and 170 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?
  4. 4.A boat goes 92 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  5. 5.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  7. 7.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?
  8. 8.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  9. 9.Two trains, 70 m and 330 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?
  10. 10.Two trains, 140 m and 280 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  11. 11.A boat goes 48 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  12. 12.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  13. 13.A boat goes 95 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)?
  14. 14.Two trains, 190 m and 195 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.A boat goes 60 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.Two trains, 150 m and 330 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?
  17. 17.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  18. 18.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  19. 19.A boat goes at 11 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 96 km upstream and come back?
  20. 20.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  25. 25.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  26. 26.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes 95 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)?
  28. 28.Two trains, 50 m and 125 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?
  29. 29.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  30. 30.A boat goes at 5 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?
  31. 31.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  32. 32.Two trains, 220 m and 95 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  33. 33.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.Two trains, 130 m and 50 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?
  35. 35.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 28 km upstream and come back?
  38. 38.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  39. 39.Two trains, 60 m and 340 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?
  40. 40.A boat goes at 17 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 33 km upstream and come back?

Answer key

  1. 44
  2. 6
  3. 7
  4. 4
  5. 8
  6. 320
  7. 12
  8. 36
  9. 10
  10. 12
  11. 5
  12. 28
  13. 17
  14. 11
  15. 10
  16. 12
  17. 110
  18. 25
  19. 22
  20. 12
  21. 23
  22. 10
  23. 25
  24. 13
  25. 380
  26. 26
  27. 16
  28. 5
  29. 225
  30. 25
  31. 19
  32. 9
  33. 19
  34. 4
  35. 9
  36. 17
  37. 16
  38. 20
  39. 10
  40. 34

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