← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 620 · 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 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 270 m long?
  3. 3.Two trains, 210 m and 90 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?
  4. 4.A boat goes 44 km downstream in 4 hours and 12 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A boat goes at 11 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 48 km upstream and come back?
  6. 6.A boat goes at 14 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 27 km upstream and come back?
  7. 7.A boat goes 38 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)?
  8. 8.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?
  9. 9.Two trains, 70 m and 245 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 150 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  11. 11.Two trains, 120 m and 280 m long, run towards each other on side-by-side tracks at 90 km/h and 54 km/h. How many seconds do they take to cross each other?
  12. 12.A boat goes 33 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  13. 13.A boat goes 46 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.Two trains, 90 m and 210 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?
  15. 15.A boat goes 52 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  16. 16.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 m long?
  17. 17.A boat goes at 20 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 72 km upstream and come back?
  18. 18.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)?
  19. 19.A boat goes 40 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  20. 20.A boat goes 72 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  21. 21.Two trains, 50 m and 230 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?
  22. 22.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 220 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  24. 24.Two trains, 150 m and 120 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?
  25. 25.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes 57 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 30 km upstream and come back?
  28. 28.A boat goes 76 km downstream in 4 hours and 60 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  29. 29.A boat goes 51 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  30. 30.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  31. 31.A train 100 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  32. 32.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 60 m long?
  33. 33.A boat goes at 12 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 44 km upstream and come back?
  34. 34.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 140 m and 400 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?
  36. 36.A train 300 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  37. 37.Two trains, 240 m and 145 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?
  38. 38.A boat goes 75 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  39. 39.Two trains, 100 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?
  40. 40.A boat goes 46 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 24
  2. 33
  3. 12
  4. 7
  5. 11
  6. 28
  7. 16
  8. 18
  9. 9
  10. 6
  11. 10
  12. 10
  13. 19
  14. 6
  15. 9
  16. 28
  17. 20
  18. 6
  19. 3
  20. 4
  21. 8
  22. 7
  23. 22
  24. 6
  25. 30
  26. 16
  27. 32
  28. 2
  29. 1
  30. 675
  31. 14
  32. 25
  33. 24
  34. 23
  35. 12
  36. 43
  37. 11
  38. 20
  39. 8
  40. 5

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