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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 326 · 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 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 105 km upstream and come back?
  2. 2.A train 400 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 64 km upstream and come back?
  4. 4.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  5. 5.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 35 km upstream and come back?
  6. 6.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.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)?
  8. 8.Two trains, 160 m and 245 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?
  9. 9.A boat goes at 17 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 84 km upstream and come back?
  10. 10.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  11. 11.Two trains, 90 m and 50 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 36 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)?
  13. 13.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 42 km upstream and come back?
  14. 14.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 40 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  16. 16.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 60 km upstream and come back?
  17. 17.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 90 km upstream and come back?
  18. 18.Two trains, 100 m and 80 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?
  19. 19.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  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 16 km upstream and come back?
  21. 21.Two trains, 190 m and 90 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?
  22. 22.A boat goes 44 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  23. 23.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 34 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)?
  25. 25.A boat goes 33 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  27. 27.Two trains, 110 m and 385 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?
  28. 28.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 100 km upstream and come back?
  29. 29.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  30. 30.A boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 64 km upstream and come back?
  31. 31.A boat goes 45 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A boat goes at 18 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 90 km upstream and come back?
  33. 33.Two trains, 150 m and 270 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?
  34. 34.A boat goes 24 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.A train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  36. 36.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 195 m long?
  37. 37.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?
  38. 38.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  39. 39.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.Two trains, 230 m and 175 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?

Answer key

  1. 112
  2. 16
  3. 40
  4. 110
  5. 12
  6. 22
  7. 5
  8. 9
  9. 17
  10. 20
  11. 7
  12. 8
  13. 44
  14. 27
  15. 2
  16. 25
  17. 36
  18. 6
  19. 26
  20. 6
  21. 7
  22. 4
  23. 12
  24. 16
  25. 9
  26. 36
  27. 11
  28. 24
  29. 32
  30. 20
  31. 7
  32. 18
  33. 12
  34. 4
  35. 260
  36. 19
  37. 22
  38. 25
  39. 7
  40. 9

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