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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 422 · 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.Two trains, 170 m and 70 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?
  2. 2.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 96 km upstream and come back?
  3. 3.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  4. 4.A boat goes 30 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  5. 5.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 30 km upstream and come back?
  6. 6.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  8. 8.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  9. 9.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 40 km upstream and come back?
  10. 10.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  11. 11.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  12. 12.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  13. 13.Two trains, 110 m and 65 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?
  14. 14.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  15. 15.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes at 10 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 99 km upstream and come back?
  17. 17.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.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 93 km upstream and come back?
  19. 19.A boat goes at 16 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 90 km upstream and come back?
  20. 20.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  21. 21.A boat goes 33 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  22. 22.A boat goes 57 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  24. 24.A boat goes 39 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  25. 25.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  28. 28.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 69 km upstream and come back?
  29. 29.A boat goes 100 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  30. 30.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  31. 31.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)?
  32. 32.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes 76 km downstream in 4 hours and 36 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  35. 35.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 70 km upstream and come back?
  36. 36.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  37. 37.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  38. 38.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  39. 39.A train running at 54 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  40. 40.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 6
  2. 56
  3. 225
  4. 1
  5. 18
  6. 9
  7. 150
  8. 26
  9. 15
  10. 38
  11. 28
  12. 450
  13. 7
  14. 17
  15. 26
  16. 20
  17. 21
  18. 96
  19. 48
  20. 525
  21. 4
  22. 14
  23. 30
  24. 4
  25. 20
  26. 15
  27. 100
  28. 72
  29. 3
  30. 195
  31. 7
  32. 7
  33. 14
  34. 420
  35. 24
  36. 280
  37. 33
  38. 320
  39. 360
  40. 24

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