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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 266 · 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 340 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?
  2. 2.A boat goes 96 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  4. 4.A boat goes at 12 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 69 km upstream and come back?
  5. 5.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  6. 6.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes 57 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  8. 8.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 80 km upstream and come back?
  9. 9.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 14 km upstream and come back?
  11. 11.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  12. 12.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  13. 13.A train 150 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  16. 16.A train 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  18. 18.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  19. 19.Two trains, 60 m and 540 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?
  20. 20.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes 120 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  22. 22.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.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?
  24. 24.Two trains, 220 m and 130 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?
  25. 25.Two trains, 70 m and 380 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?
  26. 26.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  27. 27.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  28. 28.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  29. 29.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 40 km upstream and come back?
  30. 30.Two trains, 80 m and 250 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?
  31. 31.Two trains, 110 m and 170 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  32. 32.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  33. 33.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  34. 34.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  36. 36.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  37. 37.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes 44 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.Two trains, 50 m and 310 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?
  40. 40.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 10
  2. 20
  3. 24
  4. 72
  5. 105
  6. 22
  7. 3
  8. 18
  9. 19
  10. 8
  11. 25
  12. 240
  13. 10
  14. 13
  15. 26
  16. 6
  17. 20
  18. 435
  19. 12
  20. 27
  21. 4
  22. 8
  23. 18
  24. 7
  25. 9
  26. 24
  27. 18
  28. 17
  29. 25
  30. 11
  31. 8
  32. 18
  33. 23
  34. 25
  35. 37
  36. 28
  37. 17
  38. 17
  39. 12
  40. 27

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