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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 7 · 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.Two trains, 180 m and 120 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?
  3. 3.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.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 108 km upstream and come back?
  5. 5.A train running at 72 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  6. 6.A boat goes 28 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 12 km upstream and come back?
  8. 8.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.Two trains, 150 m and 235 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  10. 10.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  11. 11.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  12. 12.A boat goes 27 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  13. 13.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  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 train running at 36 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  16. 16.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  17. 17.Two trains, 60 m and 435 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  18. 18.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  19. 19.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  20. 20.Two trains, 90 m and 350 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?
  21. 21.A boat goes at 14 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 81 km upstream and come back?
  22. 22.A boat goes 69 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  24. 24.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  25. 25.Two trains, 90 m and 185 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?
  26. 26.Two trains, 160 m and 240 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?
  27. 27.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  28. 28.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?
  29. 29.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?
  30. 30.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  32. 32.A boat goes 48 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.A boat goes at 11 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  34. 34.Two trains, 230 m and 50 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?
  35. 35.A boat goes 60 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  36. 36.Two trains, 150 m and 60 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?
  37. 37.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes 54 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 39 km upstream and come back?
  40. 40.Two trains, 100 m and 100 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?

Answer key

  1. 120
  2. 10
  3. 21
  4. 45
  5. 600
  6. 6
  7. 4
  8. 19
  9. 11
  10. 250
  11. 27
  12. 1
  13. 16
  14. 8
  15. 80
  16. 220
  17. 11
  18. 240
  19. 17
  20. 11
  21. 84
  22. 20
  23. 14
  24. 70
  25. 11
  26. 8
  27. 90
  28. 40
  29. 7
  30. 13
  31. 14
  32. 10
  33. 22
  34. 7
  35. 1
  36. 6
  37. 16
  38. 1
  39. 16
  40. 5

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