← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 487 · 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 80 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 350 m long?
  3. 3.A boat goes 66 km downstream in 3 hours and 42 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  4. 4.A boat goes 69 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)?
  5. 5.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  6. 6.A boat goes at 20 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 84 km upstream and come back?
  7. 7.A train running at 90 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  8. 8.Two trains, 150 m and 235 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?
  9. 9.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  10. 10.Two trains, 160 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?
  11. 11.A boat goes 45 km downstream in 5 hours and 15 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  12. 12.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 120 km upstream and come back?
  13. 13.A boat goes at 10 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 72 km upstream and come back?
  14. 14.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  15. 15.A train 195 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  16. 16.Two trains, 160 m and 65 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?
  17. 17.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 90 m and 190 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?
  20. 20.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  21. 21.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 13 km upstream and come back?
  22. 22.A train running at 72 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  23. 23.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 120 m long?
  24. 24.A boat goes 52 km downstream in 4 hours and 28 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  25. 25.Two trains, 120 m and 240 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?
  26. 26.A boat goes 75 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  27. 27.Two trains, 190 m and 160 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?
  28. 28.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 24 km upstream and come back?
  29. 29.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 160 m long?
  31. 31.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  32. 32.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  33. 33.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  34. 34.Two trains, 80 m and 270 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?
  35. 35.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)?
  36. 36.A train 400 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  37. 37.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 84 km upstream and come back?
  38. 38.Two trains, 170 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?
  39. 39.A boat goes 88 km downstream in 4 hours and 48 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?

Answer key

  1. 8
  2. 29
  3. 4
  4. 19
  5. 350
  6. 10
  7. 625
  8. 11
  9. 17
  10. 12
  11. 6
  12. 32
  13. 15
  14. 23
  15. 32
  16. 5
  17. 25
  18. 10
  19. 8
  20. 28
  21. 14
  22. 440
  23. 16
  24. 3
  25. 8
  26. 3
  27. 10
  28. 7
  29. 19
  30. 27
  31. 700
  32. 14
  33. 29
  34. 7
  35. 4
  36. 40
  37. 32
  38. 10
  39. 17
  40. 29

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