← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 552 · 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.Two trains, 60 m and 290 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?
  2. 2.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 150 m and 100 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?
  4. 4.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 28 km upstream and come back?
  6. 6.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.Two trains, 60 m and 210 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 train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  11. 11.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.Two trains, 100 m and 140 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?
  13. 13.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  14. 14.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  15. 15.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A train running at 36 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  17. 17.A train running at 72 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  18. 18.A boat goes at 8 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 98 km upstream and come back?
  19. 19.A boat goes at 13 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 44 km upstream and come back?
  20. 20.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A boat goes at 17 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 120 km upstream and come back?
  22. 22.A boat goes 18 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  23. 23.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  26. 26.Two trains, 200 m and 130 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?
  27. 27.A boat goes 110 km downstream in 5 hours and 70 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  28. 28.A boat goes at 9 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 77 km upstream and come back?
  29. 29.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  30. 30.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  31. 31.Two trains, 130 m and 120 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?
  32. 32.A train running at 90 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  33. 33.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 78 km upstream and come back?
  34. 34.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes at 20 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 84 km upstream and come back?
  36. 36.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  37. 37.Two trains, 200 m and 185 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?
  38. 38.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.A boat goes 18 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 7
  2. 6
  3. 5
  4. 9
  5. 16
  6. 8
  7. 17
  8. 6
  9. 30
  10. 21
  11. 20
  12. 8
  13. 34
  14. 19
  15. 11
  16. 290
  17. 200
  18. 56
  19. 13
  20. 10
  21. 34
  22. 1
  23. 9
  24. 5
  25. 18
  26. 11
  27. 4
  28. 18
  29. 36
  30. 44
  31. 10
  32. 500
  33. 80
  34. 30
  35. 10
  36. 26
  37. 11
  38. 7
  39. 7
  40. 2

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