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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 319 · 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 75 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  2. 2.A boat goes 26 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  3. 3.Two trains, 200 m and 50 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?
  4. 4.Two trains, 50 m and 220 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?
  5. 5.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  6. 6.A boat goes at 12 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 16 km upstream and come back?
  7. 7.Two trains, 90 m and 155 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?
  8. 8.A boat goes 32 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  9. 9.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  10. 10.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  11. 11.Two trains, 110 m and 205 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?
  12. 12.A boat goes at 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 112 km upstream and come back?
  13. 13.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  15. 15.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  16. 16.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.Two trains, 80 m and 270 m long, run towards each other on side-by-side tracks at 72 km/h and 54 km/h. How many seconds do they take to cross each other?
  18. 18.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A boat goes 30 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.Two trains, 190 m and 85 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?
  22. 22.A boat goes at 18 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 72 km upstream and come back?
  23. 23.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  24. 24.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 300 m long?
  25. 25.Two trains, 140 m and 100 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?
  26. 26.A train 450 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  27. 27.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  28. 28.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 120 km upstream and come back?
  29. 29.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  30. 30.A boat goes 57 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.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 114 km upstream and come back?
  32. 32.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  33. 33.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  34. 34.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  35. 35.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  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 running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  38. 38.A train 650 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes 42 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?

Answer key

  1. 2
  2. 5
  3. 10
  4. 9
  5. 30
  6. 3
  7. 7
  8. 5
  9. 29
  10. 39
  11. 9
  12. 60
  13. 5
  14. 24
  15. 275
  16. 6
  17. 10
  18. 7
  19. 7
  20. 30
  21. 11
  22. 9
  23. 36
  24. 17
  25. 8
  26. 36
  27. 130
  28. 45
  29. 19
  30. 15
  31. 44
  32. 17
  33. 190
  34. 14
  35. 34
  36. 200
  37. 230
  38. 26
  39. 18
  40. 34

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