← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 667 · 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 32 km downstream in 4 hours and 16 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  2. 2.A boat goes 24 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.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 84 km upstream and come back?
  4. 4.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)?
  5. 5.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  6. 6.A train running at 72 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  7. 7.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.Two trains, 250 m and 70 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  9. 9.A boat goes 80 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  10. 10.A train running at 72 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  11. 11.A boat goes 16 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.Two trains, 130 m and 115 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?
  13. 13.A boat goes 57 km downstream in 3 hours and 51 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  14. 14.Two trains, 100 m and 140 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?
  15. 15.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  16. 16.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 48 km upstream and come back?
  17. 17.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 210 m long?
  18. 18.A train running at 90 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  19. 19.A train 700 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  21. 21.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  22. 22.A boat goes 30 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  23. 23.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 360 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  26. 26.A boat goes at 18 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 80 km upstream and come back?
  27. 27.Two trains, 120 m and 105 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?
  28. 28.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  29. 29.Two trains, 130 m and 95 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?
  30. 30.Two trains, 70 m and 130 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?
  31. 31.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes at 14 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 115 km upstream and come back?
  33. 33.Two trains, 150 m and 95 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?
  34. 34.Two trains, 70 m and 410 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?
  35. 35.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  36. 36.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes 84 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  38. 38.Two trains, 240 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?
  39. 39.A boat goes at 12 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 70 km upstream and come back?
  40. 40.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?

Answer key

  1. 2
  2. 9
  3. 27
  4. 5
  5. 220
  6. 260
  7. 29
  8. 8
  9. 2
  10. 480
  11. 7
  12. 7
  13. 1
  14. 6
  15. 450
  16. 28
  17. 34
  18. 600
  19. 28
  20. 24
  21. 225
  22. 8
  23. 6
  24. 18
  25. 300
  26. 9
  27. 9
  28. 330
  29. 9
  30. 5
  31. 5
  32. 28
  33. 7
  34. 12
  35. 21
  36. 11
  37. 3
  38. 11
  39. 12
  40. 27

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