← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 585 · 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 10 seconds. How long is the train (in metres)?
  2. 2.Two trains, 110 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?
  3. 3.A boat goes 42 km downstream in 3 hours and 36 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  5. 5.A boat goes 56 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  6. 6.A boat goes 39 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  7. 7.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  8. 8.Two trains, 120 m and 60 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?
  9. 9.A boat goes 14 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A train running at 54 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  11. 11.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  12. 12.A boat goes 33 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  14. 14.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 40 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  16. 16.A boat goes 69 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  18. 18.Two trains, 210 m and 120 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?
  19. 19.A boat goes 88 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  20. 20.Two trains, 50 m and 110 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?
  21. 21.A train running at 90 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  22. 22.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  23. 23.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  24. 24.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  25. 25.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  26. 26.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 60 km upstream and come back?
  27. 27.Two trains, 250 m and 80 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?
  28. 28.A boat goes 60 km downstream in 5 hours and 10 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  30. 30.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 20 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  32. 32.Two trains, 110 m and 275 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.Two trains, 90 m and 180 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?
  34. 34.A boat goes 80 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  36. 36.A train 405 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.Two trains, 80 m and 250 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?
  38. 38.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  39. 39.A boat goes 60 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A boat goes 38 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 100
  2. 9
  3. 13
  4. 500
  5. 2
  6. 11
  7. 21
  8. 9
  9. 6
  10. 345
  11. 10
  12. 8
  13. 31
  14. 18
  15. 2
  16. 18
  17. 225
  18. 11
  19. 2
  20. 4
  21. 200
  22. 27
  23. 26
  24. 15
  25. 38
  26. 25
  27. 11
  28. 7
  29. 405
  30. 25
  31. 1
  32. 11
  33. 6
  34. 14
  35. 8
  36. 27
  37. 11
  38. 30
  39. 10
  40. 2

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