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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 50 · 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 5 km/h. How many hours does the boat take to go 28 km upstream and come back?
  2. 2.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  3. 3.Two trains, 250 m and 170 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?
  4. 4.A boat goes at 18 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 120 km upstream and come back?
  5. 5.A boat goes 68 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  6. 6.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes at 10 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 105 km upstream and come back?
  8. 8.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 99 km upstream and come back?
  9. 9.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  10. 10.Two trains, 60 m and 240 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?
  11. 11.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  14. 14.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  15. 15.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  16. 16.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  18. 18.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  19. 19.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 45 km upstream and come back?
  20. 20.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 21 km upstream and come back?
  21. 21.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.A boat goes 69 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  23. 23.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  24. 24.Two trains, 50 m and 310 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?
  25. 25.Two trains, 60 m and 255 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?
  26. 26.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 32 km upstream and come back?
  27. 27.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)?
  28. 28.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  29. 29.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes 66 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  31. 31.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  32. 32.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  34. 34.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  35. 35.Two trains, 210 m and 140 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?
  36. 36.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  37. 37.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  39. 39.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  40. 40.A boat goes at 14 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 66 km upstream and come back?

Answer key

  1. 9
  2. 41
  3. 12
  4. 24
  5. 4
  6. 16
  7. 28
  8. 102
  9. 35
  10. 10
  11. 17
  12. 10
  13. 27
  14. 240
  15. 24
  16. 22
  17. 37
  18. 60
  19. 14
  20. 10
  21. 27
  22. 5
  23. 300
  24. 9
  25. 9
  26. 18
  27. 18
  28. 260
  29. 14
  30. 2
  31. 240
  32. 25
  33. 21
  34. 34
  35. 7
  36. 23
  37. 21
  38. 28
  39. 550
  40. 14

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