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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 130 · 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 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  2. 2.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  3. 3.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 80 km upstream and come back?
  4. 4.Two trains, 170 m and 70 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?
  5. 5.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 56 km upstream and come back?
  6. 6.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 22 km upstream and come back?
  8. 8.A boat goes at 10 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 57 km upstream and come back?
  9. 9.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.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 78 km upstream and come back?
  11. 11.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  12. 12.A boat goes 34 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  13. 13.Two trains, 210 m and 65 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?
  14. 14.A train running at 36 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  15. 15.A boat goes 34 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train 140 m long runs at 72 km/h. How many seconds does it take to cross a platform 120 m long?
  17. 17.A boat goes 75 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  18. 18.A boat goes 55 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  19. 19.Two trains, 50 m and 230 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?
  20. 20.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  21. 21.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 96 km upstream and come back?
  22. 22.Two trains, 180 m and 95 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?
  23. 23.Two trains, 130 m and 290 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?
  24. 24.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 99 km upstream and come back?
  25. 25.A boat goes 24 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  26. 26.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  27. 27.A boat goes 46 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)?
  28. 28.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 150 m long?
  29. 29.Two trains, 90 m and 85 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?
  30. 30.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  31. 31.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  32. 32.A boat goes 57 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  33. 33.Two trains, 190 m and 110 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?
  34. 34.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  35. 35.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes at 18 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 70 km upstream and come back?
  37. 37.Two trains, 170 m and 55 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?
  38. 38.A boat goes 69 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  39. 39.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 72 km upstream and come back?
  40. 40.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?

Answer key

  1. 2
  2. 270
  3. 18
  4. 8
  5. 32
  6. 29
  7. 12
  8. 60
  9. 23
  10. 32
  11. 37
  12. 1
  13. 11
  14. 170
  15. 14
  16. 13
  17. 5
  18. 3
  19. 8
  20. 39
  21. 24
  22. 11
  23. 12
  24. 108
  25. 1
  26. 150
  27. 19
  28. 20
  29. 5
  30. 24
  31. 390
  32. 18
  33. 10
  34. 110
  35. 5
  36. 72
  37. 9
  38. 5
  39. 27
  40. 31

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