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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 916 · 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 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  2. 2.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  3. 3.A boat goes 105 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  4. 4.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.Two trains, 90 m and 260 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  6. 6.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  7. 7.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  8. 8.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  9. 9.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?
  10. 10.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  11. 11.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 48 km upstream and come back?
  12. 12.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  13. 13.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.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?
  16. 16.A boat goes 27 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A boat goes 55 km downstream in 5 hours and 5 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  19. 19.Two trains, 90 m and 120 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?
  20. 20.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  21. 21.Two trains, 80 m and 400 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?
  22. 22.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  23. 23.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 117 km upstream and come back?
  25. 25.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  27. 27.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 99 km upstream and come back?
  28. 28.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  29. 29.A boat goes 36 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  30. 30.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?
  31. 31.Two trains, 60 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?
  32. 32.A train 180 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  33. 33.A boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 32 km upstream and come back?
  34. 34.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?
  35. 35.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  36. 36.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  38. 38.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 24 km upstream and come back?
  39. 39.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 40 km upstream and come back?
  40. 40.A boat goes at 12 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 42 km upstream and come back?

Answer key

  1. 20
  2. 31
  3. 5
  4. 25
  5. 7
  6. 15
  7. 40
  8. 29
  9. 13
  10. 260
  11. 14
  12. 38
  13. 9
  14. 8
  15. 12
  16. 7
  17. 6
  18. 200
  19. 7
  20. 240
  21. 12
  22. 540
  23. 23
  24. 130
  25. 24
  26. 22
  27. 108
  28. 23
  29. 2
  30. 6
  31. 8
  32. 20
  33. 10
  34. 17
  35. 625
  36. 23
  37. 500
  38. 14
  39. 14
  40. 16

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