← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 247 · 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 at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 63 km upstream and come back?
  2. 2.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 90 km upstream and come back?
  3. 3.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  4. 4.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A boat goes 36 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 200 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  9. 9.Two trains, 100 m and 230 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  10. 10.Two trains, 230 m and 370 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?
  11. 11.A train 120 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes 50 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  13. 13.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  14. 14.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  15. 15.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  17. 17.A train running at 54 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  18. 18.A boat goes at 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 25 km upstream and come back?
  19. 19.A train running at 72 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  20. 20.A boat goes at 10 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 51 km upstream and come back?
  21. 21.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  22. 22.Two trains, 50 m and 75 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?
  23. 23.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  24. 24.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes 22 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  27. 27.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 100 m long?
  28. 28.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  29. 29.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  30. 30.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  31. 31.Two trains, 70 m and 370 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?
  32. 32.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 60 km upstream and come back?
  33. 33.Two trains, 100 m and 75 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?
  34. 34.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 140 m long?
  35. 35.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  36. 36.A boat goes at 8 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?
  37. 37.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  38. 38.A boat goes 60 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?

Answer key

  1. 30
  2. 24
  3. 225
  4. 5
  5. 13
  6. 19
  7. 8
  8. 22
  9. 11
  10. 12
  11. 6
  12. 4
  13. 19
  14. 180
  15. 23
  16. 390
  17. 270
  18. 26
  19. 540
  20. 20
  21. 23
  22. 5
  23. 380
  24. 13
  25. 9
  26. 25
  27. 23
  28. 18
  29. 300
  30. 15
  31. 11
  32. 17
  33. 5
  34. 20
  35. 625
  36. 16
  37. 19
  38. 11
  39. 19
  40. 19

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