← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 687 · 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 44 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.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 55 km upstream and come back?
  3. 3.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  4. 4.A train running at 72 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  5. 5.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  6. 6.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?
  7. 7.A train running at 54 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  8. 8.A boat goes at 20 km/h in still water. The river flows at 19 km/h. How many hours does the boat take to go 117 km upstream and come back?
  9. 9.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  11. 11.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  12. 12.A boat goes at 20 km/h in still water. The river flows at 18 km/h. How many hours does the boat take to go 114 km upstream and come back?
  13. 13.A train 300 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  15. 15.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 105 km upstream and come back?
  16. 16.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  17. 17.A boat goes 24 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  19. 19.A train running at 72 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  20. 20.A boat goes at 12 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 36 km upstream and come back?
  21. 21.Two trains, 150 m and 210 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 at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  23. 23.Two trains, 50 m and 150 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?
  24. 24.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  25. 25.A boat goes 66 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  26. 26.A boat goes at 12 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 48 km upstream and come back?
  27. 27.Two trains, 180 m and 100 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?
  28. 28.A boat goes 48 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  29. 29.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 36 km upstream and come back?
  30. 30.A boat goes at 14 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 24 km upstream and come back?
  31. 31.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  32. 32.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  33. 33.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?
  34. 34.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  35. 35.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 45 km upstream and come back?
  36. 36.Two trains, 70 m and 210 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?
  37. 37.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.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 48 km upstream and come back?
  39. 39.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  40. 40.Two trains, 70 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?

Answer key

  1. 18
  2. 60
  3. 17
  4. 240
  5. 13
  6. 21
  7. 330
  8. 120
  9. 27
  10. 27
  11. 625
  12. 60
  13. 20
  14. 15
  15. 50
  16. 190
  17. 8
  18. 11
  19. 300
  20. 8
  21. 9
  22. 13
  23. 4
  24. 200
  25. 3
  26. 9
  27. 7
  28. 3
  29. 11
  30. 7
  31. 28
  32. 275
  33. 9
  34. 450
  35. 14
  36. 7
  37. 18
  38. 14
  39. 19
  40. 6

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