← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 658 · 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 55 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  3. 3.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  4. 4.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes at 18 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 105 km upstream and come back?
  6. 6.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  7. 7.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  8. 8.Two trains, 220 m and 200 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.A boat goes 70 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.Two trains, 210 m and 140 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  11. 11.Two trains, 210 m and 70 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  12. 12.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  13. 13.A boat goes 72 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  14. 14.A train running at 36 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  15. 15.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.Two trains, 250 m and 350 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 boat goes 35 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)?
  18. 18.Two trains, 90 m and 135 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?
  19. 19.Two trains, 140 m and 175 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?
  20. 20.Two trains, 130 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?
  21. 21.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.A train running at 54 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  23. 23.A boat goes 22 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  24. 24.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 72 km upstream and come back?
  25. 25.A boat goes 84 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)?
  26. 26.A boat goes at 18 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 48 km upstream and come back?
  27. 27.A boat goes 22 km downstream in 2 hours and 2 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  28. 28.A boat goes at 11 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 108 km upstream and come back?
  29. 29.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.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?
  32. 32.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  33. 33.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  34. 34.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  35. 35.Two trains, 140 m and 400 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?
  36. 36.Two trains, 120 m and 130 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?
  37. 37.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  38. 38.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 100 m long?
  39. 39.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.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 60 km upstream and come back?

Answer key

  1. 4
  2. 18
  3. 450
  4. 27
  5. 12
  6. 275
  7. 27
  8. 12
  9. 13
  10. 10
  11. 8
  12. 14
  13. 4
  14. 250
  15. 5
  16. 12
  17. 6
  18. 9
  19. 9
  20. 8
  21. 29
  22. 240
  23. 1
  24. 21
  25. 16
  26. 6
  27. 5
  28. 33
  29. 5
  30. 7
  31. 14
  32. 17
  33. 225
  34. 18
  35. 12
  36. 5
  37. 26
  38. 29
  39. 21
  40. 64

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