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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 415 · 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 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 114 km upstream and come back?
  2. 2.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 160 m and 50 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?
  4. 4.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?
  5. 5.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  7. 7.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes at 18 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 33 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 train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  11. 11.A boat goes 60 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes 90 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  15. 15.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  16. 16.A boat goes 27 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  17. 17.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  19. 19.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  20. 20.A train 260 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  22. 22.Two trains, 50 m and 75 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?
  23. 23.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  24. 24.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes 28 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)?
  26. 26.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 60 m and 120 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?
  28. 28.A boat goes at 16 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 120 km upstream and come back?
  29. 29.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  30. 30.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  32. 32.A boat goes at 18 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 34 km upstream and come back?
  33. 33.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  34. 34.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  35. 35.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  36. 36.A boat goes 21 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  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 at 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 40 km upstream and come back?
  39. 39.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  40. 40.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?

Answer key

  1. 120
  2. 28
  3. 6
  4. 20
  5. 5
  6. 30
  7. 27
  8. 12
  9. 405
  10. 31
  11. 11
  12. 20
  13. 13
  14. 18
  15. 35
  16. 1
  17. 18
  18. 435
  19. 345
  20. 13
  21. 22
  22. 5
  23. 250
  24. 19
  25. 13
  26. 23
  27. 9
  28. 20
  29. 30
  30. 17
  31. 36
  32. 18
  33. 225
  34. 28
  35. 21
  36. 6
  37. 17
  38. 22
  39. 23
  40. 18

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