← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 917 · 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 28 seconds. How long is the train (in metres)?
  2. 2.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  3. 3.Two trains, 180 m and 170 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?
  4. 4.A boat goes 28 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  5. 5.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  7. 7.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes 54 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  9. 9.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  10. 10.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 425 m long?
  11. 11.Two trains, 200 m and 150 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?
  12. 12.Two trains, 200 m and 200 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?
  13. 13.Two trains, 180 m and 300 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?
  14. 14.A boat goes 115 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  15. 15.A boat goes at 9 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 28 km upstream and come back?
  16. 16.Two trains, 200 m and 70 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?
  17. 17.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  18. 18.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?
  19. 19.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  20. 20.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  21. 21.A boat goes 95 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 117 km upstream and come back?
  23. 23.Two trains, 170 m and 325 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 14 seconds. How long is the train (in metres)?
  25. 25.Two trains, 70 m and 245 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?
  26. 26.A boat goes at 11 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 105 km upstream and come back?
  27. 27.A boat goes 54 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)?
  28. 28.Two trains, 80 m and 95 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?
  29. 29.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  31. 31.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  32. 32.A train 100 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 500 m long?
  34. 34.Two trains, 60 m and 80 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?
  35. 35.Two trains, 70 m and 105 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?
  36. 36.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  37. 37.Two trains, 180 m and 135 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?
  38. 38.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  40. 40.Two trains, 90 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?

Answer key

  1. 560
  2. 5
  3. 10
  4. 1
  5. 8
  6. 375
  7. 20
  8. 1
  9. 300
  10. 26
  11. 10
  12. 10
  13. 12
  14. 18
  15. 9
  16. 9
  17. 210
  18. 18
  19. 220
  20. 700
  21. 15
  22. 48
  23. 11
  24. 140
  25. 9
  26. 22
  27. 15
  28. 5
  29. 17
  30. 30
  31. 165
  32. 10
  33. 34
  34. 4
  35. 5
  36. 31
  37. 9
  38. 27
  39. 425
  40. 5

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