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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 474 · 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 18 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 105 km upstream and come back?
  2. 2.Two trains, 80 m and 170 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?
  3. 3.Two trains, 250 m and 100 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?
  4. 4.A boat goes 42 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  6. 6.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  7. 7.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  9. 9.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.Two trains, 150 m and 290 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?
  11. 11.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  12. 12.A boat goes 30 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  14. 14.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  15. 15.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)?
  16. 16.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes at 20 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 90 km upstream and come back?
  19. 19.Two trains, 90 m and 230 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?
  20. 20.Two trains, 160 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?
  21. 21.A boat goes 66 km downstream in 3 hours and 54 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  22. 22.A boat goes 84 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.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 21 km upstream and come back?
  24. 24.A boat goes 95 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  25. 25.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes at 15 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 81 km upstream and come back?
  27. 27.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  28. 28.Two trains, 110 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?
  29. 29.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  30. 30.Two trains, 110 m and 115 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?
  31. 31.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  32. 32.A boat goes 14 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.Two trains, 220 m and 260 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?
  34. 34.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 80 km upstream and come back?
  35. 35.Two trains, 70 m and 70 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?
  36. 36.A boat goes at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 20 km upstream and come back?
  37. 37.A boat goes 36 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  38. 38.Two trains, 60 m and 160 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?
  39. 39.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  40. 40.Two trains, 90 m and 210 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?

Answer key

  1. 12
  2. 10
  3. 10
  4. 9
  5. 30
  6. 19
  7. 20
  8. 20
  9. 15
  10. 11
  11. 22
  12. 9
  13. 425
  14. 27
  15. 12
  16. 5
  17. 25
  18. 12
  19. 8
  20. 9
  21. 2
  22. 18
  23. 8
  24. 1
  25. 29
  26. 30
  27. 44
  28. 4
  29. 105
  30. 9
  31. 24
  32. 6
  33. 12
  34. 30
  35. 7
  36. 11
  37. 1
  38. 11
  39. 28
  40. 12

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