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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 683 · 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 12 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 95 km upstream and come back?
  2. 2.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?
  3. 3.Two trains, 50 m and 175 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?
  4. 4.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 84 km upstream and come back?
  6. 6.A boat goes 57 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  7. 7.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  8. 8.Two trains, 220 m and 95 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?
  9. 9.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes 45 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  12. 12.A boat goes 76 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  14. 14.Two trains, 150 m and 200 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?
  15. 15.A boat goes 56 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.Two trains, 70 m and 105 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?
  17. 17.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes at 19 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 36 km upstream and come back?
  19. 19.A boat goes at 12 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 45 km upstream and come back?
  20. 20.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  21. 21.Two trains, 120 m and 55 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?
  22. 22.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  24. 24.A boat goes at 17 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 104 km upstream and come back?
  25. 25.A boat goes 46 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.A boat goes at 15 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 36 km upstream and come back?
  28. 28.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  29. 29.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  30. 30.A boat goes at 16 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 28 km upstream and come back?
  31. 31.A train 625 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.Two trains, 240 m and 255 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?
  33. 33.A train running at 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  34. 34.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 60 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?
  36. 36.Two trains, 80 m and 415 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?
  37. 37.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  39. 39.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?
  40. 40.A train running at 72 km/h passes a pole in 20 seconds. How long is the train (in metres)?

Answer key

  1. 24
  2. 18
  3. 9
  4. 14
  5. 88
  6. 4
  7. 32
  8. 7
  9. 9
  10. 6
  11. 22
  12. 16
  13. 33
  14. 10
  15. 13
  16. 7
  17. 16
  18. 19
  19. 8
  20. 105
  21. 7
  22. 27
  23. 31
  24. 17
  25. 20
  26. 25
  27. 5
  28. 170
  29. 12
  30. 8
  31. 25
  32. 11
  33. 420
  34. 20
  35. 7
  36. 11
  37. 19
  38. 320
  39. 84
  40. 400

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