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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 100 · 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 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  2. 2.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  3. 3.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  4. 4.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  5. 5.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  8. 8.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?
  9. 9.Two trains, 80 m and 320 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?
  10. 10.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 30 km upstream and come back?
  11. 11.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  12. 12.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  13. 13.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.Two trains, 220 m and 185 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?
  15. 15.A boat goes 48 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  16. 16.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  17. 17.A boat goes at 12 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 84 km upstream and come back?
  18. 18.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  19. 19.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?
  20. 20.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  21. 21.Two trains, 140 m and 300 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?
  22. 22.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 99 km upstream and come back?
  23. 23.Two trains, 190 m and 50 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?
  24. 24.Two trains, 80 m and 120 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?
  25. 25.Two trains, 180 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?
  26. 26.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes at 15 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 112 km upstream and come back?
  29. 29.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?
  30. 30.A boat goes 27 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  31. 31.A boat goes 32 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 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 18 km upstream and come back?
  34. 34.Two trains, 110 m and 140 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 train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  36. 36.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  37. 37.A boat goes 38 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)?
  38. 38.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  39. 39.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 88 km upstream and come back?
  40. 40.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?

Answer key

  1. 18
  2. 39
  3. 425
  4. 420
  5. 20
  6. 27
  7. 18
  8. 28
  9. 10
  10. 16
  11. 36
  12. 300
  13. 11
  14. 9
  15. 1
  16. 27
  17. 32
  18. 28
  19. 24
  20. 28
  21. 11
  22. 108
  23. 6
  24. 10
  25. 7
  26. 6
  27. 6
  28. 15
  29. 5
  30. 3
  31. 12
  32. 18
  33. 20
  34. 10
  35. 19
  36. 200
  37. 14
  38. 26
  39. 55
  40. 26

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