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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 762 · 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 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  2. 2.A boat goes 95 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  3. 3.Two trains, 90 m and 240 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?
  4. 4.A boat goes 84 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  5. 5.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  6. 6.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.Two trains, 90 m and 50 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?
  9. 9.Two trains, 190 m and 170 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?
  10. 10.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 36 km upstream and come back?
  11. 11.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?
  12. 12.A boat goes at 15 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 96 km upstream and come back?
  13. 13.Two trains, 230 m and 220 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?
  14. 14.Two trains, 250 m and 65 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?
  15. 15.A boat goes at 20 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 114 km upstream and come back?
  16. 16.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 117 km upstream and come back?
  17. 17.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  18. 18.A boat goes 51 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  19. 19.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 420 m long?
  20. 20.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  21. 21.Two trains, 60 m and 90 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?
  22. 22.A boat goes at 14 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 84 km upstream and come back?
  23. 23.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  25. 25.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  26. 26.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  27. 27.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  29. 29.A boat goes 55 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  30. 30.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  31. 31.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 22 km upstream and come back?
  32. 32.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 96 km upstream and come back?
  33. 33.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 81 km upstream and come back?
  34. 34.Two trains, 80 m and 170 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?
  35. 35.A boat goes 100 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  36. 36.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  37. 37.A boat goes at 14 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 120 km upstream and come back?
  38. 38.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  39. 39.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 290
  2. 5
  3. 11
  4. 4
  5. 22
  6. 21
  7. 16
  8. 7
  9. 8
  10. 12
  11. 20
  12. 20
  13. 10
  14. 9
  15. 60
  16. 48
  17. 20
  18. 3
  19. 28
  20. 7
  21. 6
  22. 16
  23. 23
  24. 9
  25. 600
  26. 22
  27. 14
  28. 16
  29. 3
  30. 25
  31. 12
  32. 28
  33. 90
  34. 10
  35. 5
  36. 420
  37. 35
  38. 30
  39. 27
  40. 5

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