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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 719 · 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 10 km/h. How many hours does the boat take to go 63 km upstream and come back?
  2. 2.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  3. 3.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 57 km upstream and come back?
  4. 4.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 75 km upstream and come back?
  5. 5.Two trains, 160 m and 110 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?
  6. 6.A boat goes at 15 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 100 km upstream and come back?
  7. 7.A boat goes 44 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  8. 8.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 16 km upstream and come back?
  9. 9.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  10. 10.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  11. 11.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  12. 12.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  15. 15.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?
  16. 16.A boat goes 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  17. 17.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  18. 18.A boat goes 20 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.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)?
  20. 20.A train 130 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes 24 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  22. 22.Two trains, 120 m and 105 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  23. 23.A boat goes 48 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  24. 24.A boat goes 42 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  25. 25.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  27. 27.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes 64 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  29. 29.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  30. 30.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  31. 31.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  32. 32.A boat goes 36 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.Two trains, 160 m and 280 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?
  34. 34.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 120 km upstream and come back?
  35. 35.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  36. 36.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.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 96 km upstream and come back?
  38. 38.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  39. 39.A boat goes at 14 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 66 km upstream and come back?
  40. 40.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 66
  2. 14
  3. 22
  4. 30
  5. 9
  6. 15
  7. 2
  8. 6
  9. 13
  10. 40
  11. 37
  12. 18
  13. 6
  14. 18
  15. 12
  16. 2
  17. 40
  18. 6
  19. 3
  20. 13
  21. 2
  22. 9
  23. 5
  24. 2
  25. 12
  26. 30
  27. 18
  28. 2
  29. 15
  30. 225
  31. 24
  32. 8
  33. 11
  34. 27
  35. 250
  36. 24
  37. 22
  38. 350
  39. 14
  40. 5

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