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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 721 · 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.Two trains, 210 m and 60 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?
  2. 2.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?
  3. 3.Two trains, 140 m and 140 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  4. 4.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  5. 5.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  7. 7.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  8. 8.Two trains, 140 m and 180 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?
  9. 9.Two trains, 60 m and 325 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?
  10. 10.Two trains, 80 m and 130 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?
  11. 11.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 105 km upstream and come back?
  12. 12.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  13. 13.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?
  14. 14.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  15. 15.A boat goes 40 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  16. 16.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 19 km upstream and come back?
  17. 17.A train 360 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  19. 19.A boat goes 44 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  21. 21.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  22. 22.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  23. 23.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  25. 25.Two trains, 130 m and 230 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?
  26. 26.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  27. 27.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 56 km upstream and come back?
  28. 28.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  29. 29.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  30. 30.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 84 km upstream and come back?
  31. 31.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 110 km upstream and come back?
  32. 32.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  33. 33.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  34. 34.Two trains, 170 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?
  35. 35.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?
  36. 36.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  37. 37.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 88 km upstream and come back?
  38. 38.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 27 km upstream and come back?
  39. 39.Two trains, 240 m and 145 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?
  40. 40.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 9
  2. 20
  3. 8
  4. 32
  5. 5
  6. 38
  7. 30
  8. 8
  9. 11
  10. 7
  11. 36
  12. 725
  13. 12
  14. 350
  15. 3
  16. 20
  17. 24
  18. 360
  19. 9
  20. 27
  21. 15
  22. 33
  23. 6
  24. 675
  25. 12
  26. 42
  27. 18
  28. 13
  29. 21
  30. 40
  31. 32
  32. 28
  33. 23
  34. 9
  35. 24
  36. 18
  37. 48
  38. 10
  39. 11
  40. 22

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