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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 696 · 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 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  2. 2.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 500 m long?
  4. 4.A boat goes 40 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A boat goes 70 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)?
  6. 6.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 39 km upstream and come back?
  7. 7.A boat goes 40 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  8. 8.A boat goes at 11 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 48 km upstream and come back?
  9. 9.A boat goes 84 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  10. 10.A boat goes 26 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  11. 11.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  12. 12.Two trains, 50 m and 300 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  13. 13.A boat goes 24 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)?
  14. 14.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  15. 15.A boat goes at 13 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 69 km upstream and come back?
  16. 16.Two trains, 120 m and 195 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 boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  18. 18.A boat goes 36 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  19. 19.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  20. 20.A train 320 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  21. 21.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  22. 22.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  23. 23.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  24. 24.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  25. 25.A boat goes at 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 50 km upstream and come back?
  26. 26.A train 420 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.Two trains, 120 m and 330 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  30. 30.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  31. 31.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  32. 32.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.Two trains, 70 m and 170 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?
  34. 34.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  37. 37.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 36 km upstream and come back?
  38. 38.Two trains, 120 m and 180 m long, run towards each other on side-by-side tracks at 90 km/h and 90 km/h. How many seconds do they take to cross each other?
  39. 39.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes 57 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 22
  2. 25
  3. 25
  4. 6
  5. 12
  6. 16
  7. 5
  8. 11
  9. 2
  10. 10
  11. 27
  12. 7
  13. 6
  14. 160
  15. 26
  16. 9
  17. 18
  18. 2
  19. 27
  20. 16
  21. 160
  22. 41
  23. 200
  24. 32
  25. 52
  26. 21
  27. 28
  28. 11
  29. 9
  30. 24
  31. 31
  32. 14
  33. 8
  34. 25
  35. 5
  36. 31
  37. 16
  38. 6
  39. 14
  40. 5

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