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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 963 · 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 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 44 km upstream and come back?
  2. 2.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  3. 3.A boat goes 76 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A boat goes at 11 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?
  5. 5.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  6. 6.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 33 km upstream and come back?
  7. 7.Two trains, 110 m and 140 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?
  8. 8.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 18 km upstream and come back?
  10. 10.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  11. 11.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  12. 12.A boat goes at 13 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 120 km upstream and come back?
  13. 13.A boat goes 60 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  16. 16.Two trains, 90 m and 405 m long, run towards each other on side-by-side tracks at 90 km/h and 72 km/h. How many seconds do they take to cross each other?
  17. 17.A train 240 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.Two trains, 60 m and 115 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?
  19. 19.A boat goes 22 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  20. 20.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 8 km upstream and come back?
  21. 21.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  22. 22.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 28 km upstream and come back?
  23. 23.A boat goes 88 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  24. 24.A boat goes at 8 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 24 km upstream and come back?
  25. 25.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  26. 26.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  27. 27.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 30 km upstream and come back?
  28. 28.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes at 7 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 20 km upstream and come back?
  30. 30.A train running at 36 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  31. 31.Two trains, 90 m and 210 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  32. 32.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)?
  33. 33.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  34. 34.A boat goes at 5 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.Two trains, 210 m and 150 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?
  36. 36.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes 48 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  38. 38.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.Two trains, 50 m and 230 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  40. 40.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 13
  2. 21
  3. 15
  4. 22
  5. 13
  6. 14
  7. 10
  8. 30
  9. 20
  10. 325
  11. 480
  12. 65
  13. 5
  14. 21
  15. 18
  16. 11
  17. 12
  18. 5
  19. 4
  20. 3
  21. 13
  22. 9
  23. 3
  24. 8
  25. 21
  26. 32
  27. 8
  28. 16
  29. 7
  30. 140
  31. 10
  32. 10
  33. 21
  34. 50
  35. 12
  36. 26
  37. 4
  38. 28
  39. 7
  40. 20

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