← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 799 · 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 10 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 42 km upstream and come back?
  2. 2.A boat goes 60 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  3. 3.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  4. 4.A boat goes at 10 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 96 km upstream and come back?
  5. 5.Two trains, 130 m and 140 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?
  6. 6.A train 150 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  7. 7.Two trains, 200 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?
  8. 8.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  9. 9.Two trains, 110 m and 130 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?
  10. 10.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  11. 11.A boat goes 30 km downstream in 2 hours and 18 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.Two trains, 60 m and 180 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, 130 m and 170 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?
  14. 14.A boat goes at 13 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 25 km upstream and come back?
  15. 15.A boat goes 33 km downstream in 3 hours and 3 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  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 12 km upstream and come back?
  18. 18.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  19. 19.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  20. 20.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 21 km upstream and come back?
  21. 21.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 96 km upstream and come back?
  22. 22.Two trains, 110 m and 50 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?
  23. 23.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  24. 24.Two trains, 170 m and 270 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?
  25. 25.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  26. 26.A boat goes at 20 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 48 km upstream and come back?
  27. 27.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 260 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 140 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 170 m and 180 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?
  32. 32.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  33. 33.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  34. 34.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A boat goes 28 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  36. 36.A boat goes 72 km downstream in 4 hours and 32 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  37. 37.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes 95 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  39. 39.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?
  40. 40.A boat goes at 16 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 120 km upstream and come back?

Answer key

  1. 10
  2. 2
  3. 39
  4. 30
  5. 6
  6. 16
  7. 11
  8. 475
  9. 12
  10. 17
  11. 12
  12. 6
  13. 12
  14. 26
  15. 6
  16. 90
  17. 5
  18. 420
  19. 18
  20. 10
  21. 60
  22. 8
  23. 29
  24. 11
  25. 280
  26. 5
  27. 17
  28. 26
  29. 7
  30. 30
  31. 10
  32. 25
  33. 35
  34. 11
  35. 4
  36. 5
  37. 22
  38. 4
  39. 12
  40. 64

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