← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 625 · 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 boat goes at 16 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 110 km upstream and come back?
  2. 2.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  3. 3.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 400 m long?
  4. 4.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 175 m long?
  5. 5.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 350 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  7. 7.A boat goes at 12 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 63 km upstream and come back?
  8. 8.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 112 km upstream and come back?
  9. 9.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  10. 10.A boat goes at 18 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 105 km upstream and come back?
  11. 11.A boat goes at 13 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  12. 12.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  13. 13.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.A boat goes at 10 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 105 km upstream and come back?
  15. 15.A train running at 54 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  16. 16.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  18. 18.A boat goes at 12 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 108 km upstream and come back?
  19. 19.Two trains, 50 m and 130 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?
  20. 20.A boat goes 60 km downstream in 4 hours and 52 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  21. 21.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?
  22. 22.Two trains, 100 m and 450 m long, run towards each other on side-by-side tracks at 90 km/h and 90 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 27 seconds. How long is the train (in metres)?
  24. 24.Two trains, 150 m and 90 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?
  25. 25.Two trains, 200 m and 280 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  26. 26.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 84 km upstream and come back?
  27. 27.A boat goes 63 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  28. 28.A train 160 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes 42 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train running at 72 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  31. 31.A train 125 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.A train running at 36 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  33. 33.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  34. 34.Two trains, 180 m and 220 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  35. 35.A boat goes 42 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  36. 36.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  37. 37.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  38. 38.Two trains, 130 m and 230 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?
  39. 39.A boat goes 45 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  40. 40.A boat goes at 9 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 48 km upstream and come back?

Answer key

  1. 16
  2. 37
  3. 33
  4. 27
  5. 9
  6. 32
  7. 24
  8. 22
  9. 380
  10. 12
  11. 13
  12. 18
  13. 28
  14. 28
  15. 90
  16. 27
  17. 31
  18. 24
  19. 6
  20. 1
  21. 40
  22. 11
  23. 675
  24. 12
  25. 12
  26. 27
  27. 4
  28. 16
  29. 17
  30. 160
  31. 5
  32. 120
  33. 28
  34. 10
  35. 4
  36. 435
  37. 100
  38. 12
  39. 5
  40. 12

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