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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 563 · 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 11 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 120 km upstream and come back?
  2. 2.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?
  3. 3.A boat goes 32 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  6. 6.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  7. 7.A boat goes at 14 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  8. 8.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  9. 9.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  11. 11.A boat goes 46 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  12. 12.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  13. 13.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  14. 14.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  15. 15.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 108 km upstream and come back?
  16. 16.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  17. 17.A boat goes 55 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  18. 18.A boat goes 18 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  19. 19.Two trains, 120 m and 200 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  20. 20.A boat goes 54 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.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 80 km upstream and come back?
  22. 22.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  23. 23.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  24. 24.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  25. 25.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 120 km upstream and come back?
  26. 26.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  27. 27.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 34 km upstream and come back?
  29. 29.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  31. 31.Two trains, 160 m and 225 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?
  32. 32.Two trains, 100 m and 140 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?
  33. 33.Two trains, 110 m and 310 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?
  34. 34.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  35. 35.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  36. 36.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  38. 38.A boat goes 33 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.A boat goes 40 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  40. 40.Two trains, 110 m and 90 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?

Answer key

  1. 66
  2. 12
  3. 15
  4. 28
  5. 29
  6. 32
  7. 14
  8. 22
  9. 20
  10. 27
  11. 3
  12. 17
  13. 160
  14. 25
  15. 36
  16. 325
  17. 4
  18. 3
  19. 8
  20. 14
  21. 48
  22. 22
  23. 31
  24. 11
  25. 72
  26. 420
  27. 22
  28. 36
  29. 14
  30. 37
  31. 11
  32. 6
  33. 12
  34. 250
  35. 25
  36. 15
  37. 25
  38. 4
  39. 4
  40. 5

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