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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 301 · 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 6 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 50 km upstream and come back?
  2. 2.A boat goes 110 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  3. 3.A boat goes at 14 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 26 km upstream and come back?
  4. 4.Two trains, 130 m and 230 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  5. 5.Two trains, 70 m and 245 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?
  6. 6.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  7. 7.Two trains, 140 m and 175 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?
  8. 8.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  10. 10.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  11. 11.Two trains, 120 m and 80 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?
  12. 12.A boat goes at 10 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 36 km upstream and come back?
  13. 13.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  14. 14.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 63 km upstream and come back?
  15. 15.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?
  16. 16.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  18. 18.A boat goes at 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  19. 19.Two trains, 90 m and 310 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?
  20. 20.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  21. 21.A boat goes at 15 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 25 km upstream and come back?
  22. 22.Two trains, 150 m and 120 m long, run towards each other on side-by-side tracks at 72 km/h and 90 km/h. How many seconds do they take to cross each other?
  23. 23.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  27. 27.Two trains, 150 m and 200 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?
  28. 28.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes 85 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 375 m long?
  31. 31.Two trains, 50 m and 70 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  32. 32.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes 54 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.A boat goes at 14 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 24 km upstream and come back?
  35. 35.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  36. 36.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  37. 37.A boat goes at 6 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 88 km upstream and come back?
  38. 38.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes 65 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A boat goes 39 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 30
  2. 3
  3. 14
  4. 12
  5. 9
  6. 160
  7. 9
  8. 27
  9. 17
  10. 14
  11. 10
  12. 20
  13. 23
  14. 30
  15. 10
  16. 11
  17. 31
  18. 7
  19. 10
  20. 700
  21. 6
  22. 6
  23. 9
  24. 9
  25. 7
  26. 420
  27. 10
  28. 20
  29. 13
  30. 20
  31. 4
  32. 6
  33. 16
  34. 7
  35. 290
  36. 16
  37. 96
  38. 20
  39. 10
  40. 3

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