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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 94 · 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 train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 30 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.A boat goes 60 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)?
  4. 4.A boat goes 115 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  5. 5.A boat goes 48 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A boat goes 44 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  7. 7.Two trains, 160 m and 80 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?
  8. 8.Two trains, 50 m and 300 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?
  9. 9.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  10. 10.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  11. 11.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  12. 12.Two trains, 60 m and 185 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?
  13. 13.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  14. 14.A boat goes 96 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  15. 15.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  16. 16.Two trains, 160 m and 50 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?
  17. 17.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  18. 18.A boat goes at 17 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 32 km upstream and come back?
  19. 19.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 75 km upstream and come back?
  20. 20.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.Two trains, 130 m and 110 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 train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  23. 23.A boat goes at 20 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 36 km upstream and come back?
  24. 24.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  25. 25.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  26. 26.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 300 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes at 20 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 108 km upstream and come back?
  30. 30.Two trains, 90 m and 330 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?
  31. 31.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 40 km upstream and come back?
  32. 32.A boat goes 88 km downstream in 4 hours and 56 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  33. 33.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  34. 34.A train running at 54 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  35. 35.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  37. 37.A boat goes 63 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  40. 40.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?

Answer key

  1. 10
  2. 14
  3. 10
  4. 5
  5. 10
  6. 5
  7. 6
  8. 10
  9. 28
  10. 300
  11. 23
  12. 7
  13. 36
  14. 4
  15. 21
  16. 6
  17. 29
  18. 17
  19. 80
  20. 10
  21. 12
  22. 12
  23. 10
  24. 24
  25. 37
  26. 30
  27. 15
  28. 12
  29. 30
  30. 12
  31. 9
  32. 4
  33. 21
  34. 105
  35. 14
  36. 26
  37. 2
  38. 9
  39. 425
  40. 29

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