← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 850 · 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 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  3. 3.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  4. 4.Two trains, 70 m and 290 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?
  5. 5.Two trains, 210 m and 140 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?
  6. 6.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  7. 7.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  9. 9.Two trains, 50 m and 160 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.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  11. 11.A boat goes 38 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  12. 12.A boat goes 48 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  13. 13.Two trains, 130 m and 140 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?
  14. 14.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  15. 15.Two trains, 70 m and 330 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?
  16. 16.A boat goes at 6 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 35 km upstream and come back?
  17. 17.A train running at 72 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  18. 18.A boat goes at 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 112 km upstream and come back?
  19. 19.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  20. 20.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 66 km upstream and come back?
  21. 21.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  22. 22.Two trains, 60 m and 115 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  23. 23.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  24. 24.A boat goes 39 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  25. 25.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  26. 26.Two trains, 100 m and 125 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?
  27. 27.Two trains, 180 m and 205 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  28. 28.A boat goes at 18 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 96 km upstream and come back?
  29. 29.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes 65 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  31. 31.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.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 120 km upstream and come back?
  33. 33.A boat goes 56 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  34. 34.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 108 km upstream and come back?
  35. 35.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  36. 36.A boat goes at 15 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 96 km upstream and come back?
  37. 37.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  38. 38.A boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  39. 39.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  40. 40.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?

Answer key

  1. 22
  2. 210
  3. 5
  4. 9
  5. 10
  6. 130
  7. 6
  8. 28
  9. 7
  10. 625
  11. 5
  12. 5
  13. 9
  14. 25
  15. 10
  16. 12
  17. 360
  18. 60
  19. 195
  20. 28
  21. 19
  22. 5
  23. 10
  24. 5
  25. 37
  26. 9
  27. 11
  28. 27
  29. 21
  30. 5
  31. 27
  32. 35
  33. 10
  34. 33
  35. 6
  36. 20
  37. 60
  38. 13
  39. 550
  40. 10

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