← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 586 · 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 train running at 36 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  2. 2.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  3. 3.A boat goes at 19 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 108 km upstream and come back?
  4. 4.A train 110 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.Two trains, 180 m and 65 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?
  6. 6.Two trains, 180 m and 60 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?
  7. 7.A boat goes 36 km downstream in 3 hours and 12 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  8. 8.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 165 m long?
  10. 10.A boat goes at 19 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 68 km upstream and come back?
  11. 11.A boat goes at 13 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 69 km upstream and come back?
  12. 12.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  13. 13.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?
  14. 14.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  15. 15.A train 170 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  16. 16.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 90 km upstream and come back?
  17. 17.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.Two trains, 120 m and 90 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?
  19. 19.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  21. 21.A train 120 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  23. 23.Two trains, 70 m and 425 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?
  24. 24.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  25. 25.A train 225 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.Two trains, 120 m and 55 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?
  27. 27.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  30. 30.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes at 11 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?
  32. 32.Two trains, 160 m and 155 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?
  33. 33.A train 160 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  34. 34.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  35. 35.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.Two trains, 70 m and 180 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?
  37. 37.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  38. 38.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  39. 39.A boat goes at 17 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 66 km upstream and come back?
  40. 40.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?

Answer key

  1. 260
  2. 195
  3. 57
  4. 11
  5. 7
  6. 6
  7. 4
  8. 13
  9. 22
  10. 19
  11. 26
  12. 200
  13. 18
  14. 28
  15. 25
  16. 96
  17. 16
  18. 6
  19. 11
  20. 14
  21. 12
  22. 29
  23. 11
  24. 70
  25. 15
  26. 5
  27. 25
  28. 5
  29. 275
  30. 24
  31. 11
  32. 9
  33. 22
  34. 285
  35. 7
  36. 10
  37. 19
  38. 15
  39. 68
  40. 25

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