← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 933 · 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.Two trains, 60 m and 300 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?
  2. 2.Two trains, 190 m and 160 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?
  3. 3.Two trains, 90 m and 60 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?
  4. 4.A boat goes at 19 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 72 km upstream and come back?
  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.Two trains, 150 m and 70 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?
  7. 7.A boat goes 36 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)?
  8. 8.A boat goes 39 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)?
  9. 9.A train running at 36 km/h passes a pole in 7 seconds. How long is the train (in metres)?
  10. 10.A boat goes 21 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  11. 11.Two trains, 140 m and 60 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?
  12. 12.A train running at 54 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  13. 13.Two trains, 50 m and 100 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 train 475 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  16. 16.A boat goes 105 km downstream in 5 hours and 95 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  17. 17.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)?
  18. 18.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  19. 19.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  20. 20.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 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 boat goes at 13 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 80 km upstream and come back?
  23. 23.A train running at 54 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  24. 24.A boat goes 105 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  25. 25.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes 44 km downstream in 2 hours and 32 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  27. 27.A boat goes at 11 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 42 km upstream and come back?
  28. 28.A boat goes 95 km downstream in 5 hours and 75 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  29. 29.Two trains, 210 m and 285 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?
  30. 30.Two trains, 60 m and 115 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?
  31. 31.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  32. 32.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  33. 33.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 230 m long?
  34. 34.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?
  35. 35.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 220 m long?
  36. 36.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  37. 37.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 345 m long?
  38. 38.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?
  39. 39.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 255 m long?
  40. 40.A train 500 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?

Answer key

  1. 9
  2. 10
  3. 5
  4. 38
  5. 11
  6. 11
  7. 7
  8. 11
  9. 70
  10. 1
  11. 10
  12. 405
  13. 6
  14. 19
  15. 190
  16. 1
  17. 4
  18. 475
  19. 38
  20. 26
  21. 14
  22. 13
  23. 135
  24. 2
  25. 23
  26. 3
  27. 44
  28. 17
  29. 11
  30. 5
  31. 380
  32. 34
  33. 41
  34. 18
  35. 28
  36. 20
  37. 32
  38. 18
  39. 23
  40. 28

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