← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 618 · 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 14 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 52 km upstream and come back?
  2. 2.Two trains, 70 m and 130 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?
  3. 3.Two trains, 110 m and 140 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?
  4. 4.A boat goes 45 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.Two trains, 60 m and 255 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?
  6. 6.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.Two trains, 80 m and 100 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?
  8. 8.Two trains, 210 m and 210 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?
  9. 9.Two trains, 180 m and 180 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?
  10. 10.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 72 km upstream and come back?
  11. 11.A boat goes 48 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  13. 13.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  16. 16.Two trains, 250 m and 200 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?
  17. 17.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  18. 18.A boat goes at 9 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 48 km upstream and come back?
  19. 19.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 130 m long?
  20. 20.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  21. 21.A boat goes at 14 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 75 km upstream and come back?
  22. 22.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  23. 23.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  24. 24.A boat goes at 15 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 120 km upstream and come back?
  25. 25.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 45 km upstream and come back?
  26. 26.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  27. 27.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.Two trains, 170 m and 70 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?
  29. 29.A boat goes 85 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A boat goes 22 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A boat goes 120 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  32. 32.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  33. 33.Two trains, 80 m and 60 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?
  34. 34.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  35. 35.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  36. 36.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  37. 37.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes 100 km downstream in 5 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 250 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?

Answer key

  1. 28
  2. 10
  3. 10
  4. 6
  5. 7
  6. 5
  7. 9
  8. 12
  9. 12
  10. 45
  11. 10
  12. 24
  13. 9
  14. 11
  15. 22
  16. 9
  17. 150
  18. 27
  19. 20
  20. 275
  21. 28
  22. 28
  23. 600
  24. 25
  25. 50
  26. 130
  27. 18
  28. 12
  29. 16
  30. 7
  31. 5
  32. 135
  33. 7
  34. 37
  35. 25
  36. 26
  37. 22
  38. 18
  39. 9
  40. 26

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude