← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 691 · 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 11 seconds. How long is the train (in metres)?
  2. 2.A train running at 90 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  3. 3.A train running at 90 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  4. 4.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  5. 5.A train 345 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A train running at 36 km/h passes a pole in 18 seconds. How long is the train (in metres)?
  8. 8.A boat goes at 13 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 69 km upstream and come back?
  9. 9.Two trains, 190 m and 195 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?
  10. 10.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  11. 11.A train running at 90 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  12. 12.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  13. 13.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  14. 14.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  15. 15.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 78 km upstream and come back?
  16. 16.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 600 m long?
  17. 17.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 48 km upstream and come back?
  18. 18.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  19. 19.A train 580 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 475 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  21. 21.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  22. 22.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?
  23. 23.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 200 m long?
  24. 24.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  25. 25.A train running at 90 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  26. 26.Two trains, 60 m and 80 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?
  27. 27.Two trains, 50 m and 75 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  28. 28.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes at 7 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 104 km upstream and come back?
  30. 30.Two trains, 70 m and 80 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?
  31. 31.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)?
  32. 32.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes at 14 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 96 km upstream and come back?
  35. 35.A boat goes 75 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  36. 36.A train 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A train running at 72 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  38. 38.A train 60 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  39. 39.A train running at 36 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  40. 40.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?

Answer key

  1. 220
  2. 175
  3. 450
  4. 34
  5. 23
  6. 13
  7. 180
  8. 26
  9. 11
  10. 30
  11. 150
  12. 35
  13. 24
  14. 90
  15. 32
  16. 41
  17. 20
  18. 750
  19. 29
  20. 28
  21. 13
  22. 13
  23. 27
  24. 27
  25. 275
  26. 7
  27. 5
  28. 30
  29. 112
  30. 5
  31. 2
  32. 8
  33. 5
  34. 28
  35. 4
  36. 8
  37. 500
  38. 17
  39. 150
  40. 29

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