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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 302 · 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 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 20 km upstream and come back?
  2. 2.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  3. 3.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes 85 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A boat goes at 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 20 km upstream and come back?
  6. 6.Two trains, 230 m and 70 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?
  7. 7.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 48 km upstream and come back?
  8. 8.A boat goes at 11 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 114 km upstream and come back?
  9. 9.Two trains, 50 m and 220 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  10. 10.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  11. 11.A boat goes 36 km downstream in 3 hours and 6 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.Two trains, 100 m and 100 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?
  13. 13.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  15. 15.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  16. 16.A boat goes 44 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  17. 17.Two trains, 150 m and 450 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?
  18. 18.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  19. 19.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  20. 20.A boat goes 42 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  21. 21.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 78 km upstream and come back?
  22. 22.Two trains, 60 m and 115 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  23. 23.Two trains, 110 m and 220 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  24. 24.A train 270 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.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 84 km upstream and come back?
  27. 27.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  28. 28.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  29. 29.Two trains, 130 m and 170 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 running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  31. 31.Two trains, 120 m and 285 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?
  32. 32.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 108 km upstream and come back?
  33. 33.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  34. 34.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  35. 35.A boat goes 65 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  36. 36.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  37. 37.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 63 km upstream and come back?
  38. 38.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 112 km upstream and come back?
  40. 40.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?

Answer key

  1. 7
  2. 13
  3. 13
  4. 16
  5. 6
  6. 12
  7. 27
  8. 44
  9. 9
  10. 23
  11. 7
  12. 8
  13. 12
  14. 19
  15. 190
  16. 4
  17. 12
  18. 22
  19. 31
  20. 4
  21. 32
  22. 5
  23. 11
  24. 18
  25. 11
  26. 28
  27. 100
  28. 540
  29. 6
  30. 150
  31. 9
  32. 120
  33. 26
  34. 110
  35. 4
  36. 25
  37. 24
  38. 16
  39. 36
  40. 29

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