← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 807 · 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 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  3. 3.A train 140 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  4. 4.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  5. 5.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 165 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  7. 7.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  8. 8.Two trains, 100 m and 215 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?
  9. 9.A train 525 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  10. 10.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  11. 11.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  12. 12.A train 70 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 85 km upstream and come back?
  14. 14.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 84 km upstream and come back?
  15. 15.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  16. 16.Two trains, 130 m and 185 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?
  17. 17.A boat goes 84 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A boat goes at 20 km/h in still water. The river flows at 19 km/h. How many hours does the boat take to go 39 km upstream and come back?
  19. 19.A boat goes 33 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  20. 20.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  21. 21.A train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 140 m and 220 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?
  23. 23.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  24. 24.A train running at 90 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  25. 25.A boat goes 48 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  26. 26.A train running at 72 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  27. 27.A boat goes at 14 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 75 km upstream and come back?
  28. 28.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 84 km upstream and come back?
  31. 31.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 40 km upstream and come back?
  32. 32.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  33. 33.Two trains, 50 m and 490 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?
  34. 34.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  35. 35.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 45 km upstream and come back?
  36. 36.A train 180 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  37. 37.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  39. 39.A boat goes 32 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  40. 40.A boat goes at 19 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 96 km upstream and come back?

Answer key

  1. 7
  2. 27
  3. 33
  4. 160
  5. 28
  6. 18
  7. 20
  8. 9
  9. 21
  10. 22
  11. 125
  12. 7
  13. 90
  14. 49
  15. 23
  16. 9
  17. 17
  18. 40
  19. 1
  20. 27
  21. 19
  22. 12
  23. 625
  24. 750
  25. 12
  26. 120
  27. 28
  28. 25
  29. 22
  30. 40
  31. 25
  32. 26
  33. 12
  34. 26
  35. 14
  36. 24
  37. 11
  38. 475
  39. 1
  40. 19

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