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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 737 · 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 train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  2. 2.A boat goes 40 km downstream in 2 hours and 36 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.Two trains, 60 m and 90 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?
  4. 4.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.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)?
  6. 6.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  7. 7.A boat goes at 11 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 105 km upstream and come back?
  8. 8.A boat goes at 18 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 112 km upstream and come back?
  9. 9.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 84 km upstream and come back?
  10. 10.Two trains, 60 m and 180 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  11. 11.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  14. 14.Two trains, 70 m and 55 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?
  15. 15.A boat goes 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  16. 16.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 102 km upstream and come back?
  18. 18.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  19. 19.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  21. 21.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 150 m long?
  22. 22.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes at 12 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 32 km upstream and come back?
  26. 26.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  27. 27.A boat goes 105 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.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  29. 29.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 66 km upstream and come back?
  30. 30.Two trains, 120 m and 105 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?
  31. 31.Two trains, 180 m and 100 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?
  32. 32.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  33. 33.A boat goes 100 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A boat goes 28 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  38. 38.A boat goes 34 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train running at 72 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  40. 40.Two trains, 140 m and 175 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?

Answer key

  1. 120
  2. 19
  3. 6
  4. 27
  5. 4
  6. 36
  7. 22
  8. 18
  9. 88
  10. 8
  11. 30
  12. 18
  13. 30
  14. 5
  15. 2
  16. 19
  17. 40
  18. 31
  19. 5
  20. 28
  21. 22
  22. 24
  23. 16
  24. 17
  25. 6
  26. 225
  27. 17
  28. 29
  29. 28
  30. 5
  31. 8
  32. 345
  33. 17
  34. 3
  35. 29
  36. 12
  37. 70
  38. 13
  39. 340
  40. 9

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