← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 521 · 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 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  2. 2.A train 330 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes 22 km downstream in 2 hours and 2 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  5. 5.Two trains, 100 m and 285 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?
  6. 6.A boat goes 64 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  7. 7.Two trains, 50 m and 200 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?
  8. 8.A train 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  10. 10.Two trains, 100 m and 400 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?
  11. 11.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)?
  12. 12.A train 175 m long runs at 90 km/h. How many seconds does it take to cross a platform 225 m long?
  13. 13.A boat goes 48 km downstream in 4 hours and 8 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 210 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  15. 15.A boat goes 20 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  16. 16.A boat goes 45 km downstream in 5 hours and 35 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  18. 18.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 315 m long?
  19. 19.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  20. 20.A train 320 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  21. 21.A boat goes 56 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  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 boat goes at 16 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 48 km upstream and come back?
  24. 24.Two trains, 70 m and 260 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?
  25. 25.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  27. 27.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?
  28. 28.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  29. 29.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  30. 30.A boat goes at 19 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 68 km upstream and come back?
  31. 31.Two trains, 60 m and 120 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?
  32. 32.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)?
  33. 33.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 480 m long?
  34. 34.A boat goes 75 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  35. 35.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  36. 36.Two trains, 140 m and 100 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?
  37. 37.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  38. 38.Two trains, 90 m and 180 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?
  39. 39.Two trains, 240 m and 60 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?
  40. 40.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 120 km upstream and come back?

Answer key

  1. 30
  2. 22
  3. 6
  4. 39
  5. 11
  6. 5
  7. 10
  8. 9
  9. 27
  10. 10
  11. 5
  12. 16
  13. 5
  14. 14
  15. 2
  16. 8
  17. 24
  18. 27
  19. 19
  20. 38
  21. 10
  22. 7
  23. 8
  24. 11
  25. 25
  26. 200
  27. 18
  28. 285
  29. 18
  30. 19
  31. 6
  32. 4
  33. 30
  34. 14
  35. 19
  36. 6
  37. 100
  38. 9
  39. 12
  40. 75

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