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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 105 · 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, 60 m and 240 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?
  2. 2.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  4. 4.A boat goes at 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 70 km upstream and come back?
  5. 5.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  6. 6.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  7. 7.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.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?
  9. 9.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  10. 10.A boat goes 54 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  12. 12.A train running at 90 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  13. 13.Two trains, 60 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?
  14. 14.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 57 km upstream and come back?
  15. 15.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)?
  16. 16.A boat goes 80 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)?
  17. 17.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  18. 18.Two trains, 90 m and 225 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?
  19. 19.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  20. 20.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  21. 21.Two trains, 70 m and 150 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?
  22. 22.A boat goes at 11 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 105 km upstream and come back?
  23. 23.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  24. 24.Two trains, 210 m and 140 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?
  25. 25.Two trains, 120 m and 80 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?
  26. 26.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  29. 29.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  30. 30.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  31. 31.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  33. 33.A train running at 72 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  34. 34.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  35. 35.A boat goes 18 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)?
  36. 36.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  37. 37.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  38. 38.Two trains, 90 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?
  39. 39.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 460 m long runs at 72 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 12
  2. 25
  3. 30
  4. 42
  5. 7
  6. 260
  7. 19
  8. 32
  9. 405
  10. 17
  11. 15
  12. 575
  13. 6
  14. 22
  15. 3
  16. 16
  17. 250
  18. 7
  19. 27
  20. 30
  21. 11
  22. 22
  23. 36
  24. 10
  25. 8
  26. 28
  27. 11
  28. 50
  29. 290
  30. 13
  31. 27
  32. 16
  33. 320
  34. 13
  35. 7
  36. 200
  37. 11
  38. 8
  39. 30
  40. 23

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