← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 896 · 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 72 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  2. 2.Two trains, 160 m and 260 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?
  3. 3.Two trains, 60 m and 60 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?
  4. 4.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 240 m long?
  6. 6.Two trains, 160 m and 380 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?
  7. 7.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  8. 8.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  10. 10.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  11. 11.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  12. 12.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  13. 13.Two trains, 210 m and 230 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?
  14. 14.A boat goes 42 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.Two trains, 90 m and 185 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?
  16. 16.A train 300 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes 36 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A train 140 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  20. 20.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  21. 21.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  22. 22.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  23. 23.A boat goes 38 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  25. 25.A boat goes 63 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  26. 26.A train 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  27. 27.Two trains, 120 m and 265 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?
  28. 28.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes 44 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  30. 30.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  31. 31.Two trains, 70 m and 105 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?
  32. 32.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  33. 33.Two trains, 70 m and 155 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 train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  35. 35.A boat goes 48 km downstream in 3 hours and 30 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  36. 36.A train 105 m long runs at 54 km/h. How many seconds does it take to cross a platform 360 m long?
  37. 37.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  38. 38.Two trains, 90 m and 60 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?
  39. 39.Two trains, 80 m and 270 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?
  40. 40.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?

Answer key

  1. 420
  2. 12
  3. 4
  4. 24
  5. 32
  6. 12
  7. 19
  8. 16
  9. 27
  10. 13
  11. 5
  12. 30
  13. 11
  14. 10
  15. 11
  16. 30
  17. 9
  18. 14
  19. 26
  20. 135
  21. 40
  22. 44
  23. 1
  24. 11
  25. 3
  26. 29
  27. 11
  28. 7
  29. 2
  30. 11
  31. 5
  32. 18
  33. 5
  34. 60
  35. 13
  36. 31
  37. 8
  38. 5
  39. 10
  40. 725

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