← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 355 · 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 64 km downstream in 4 hours and 40 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  2. 2.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes at 18 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 108 km upstream and come back?
  4. 4.Two trains, 110 m and 110 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?
  5. 5.A boat goes 57 km downstream in 3 hours and 33 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  6. 6.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  7. 7.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  8. 8.A boat goes 66 km downstream in 3 hours and 48 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  9. 9.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  10. 10.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  11. 11.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 285 m long?
  12. 12.A train 150 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  13. 13.A boat goes 20 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  14. 14.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  15. 15.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 375 m long?
  16. 16.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 300 m long?
  18. 18.Two trains, 150 m and 165 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?
  19. 19.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  20. 20.A boat goes 30 km downstream in 3 hours and 18 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  21. 21.A train 210 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  22. 22.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?
  23. 23.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  24. 24.A train 220 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  25. 25.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)?
  26. 26.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 64 km upstream and come back?
  27. 27.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  28. 28.A train 165 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.A boat goes 57 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  30. 30.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  31. 31.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  32. 32.A train running at 90 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  33. 33.A boat goes at 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 84 km upstream and come back?
  34. 34.A train running at 36 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  35. 35.A train 135 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  36. 36.Two trains, 110 m and 190 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?
  37. 37.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 180 m long?
  38. 38.Two trains, 170 m and 130 m long, run towards each other on side-by-side tracks at 36 km/h and 72 km/h. How many seconds do they take to cross each other?
  39. 39.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)?
  40. 40.Two trains, 100 m and 220 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?

Answer key

  1. 3
  2. 9
  3. 16
  4. 11
  5. 15
  6. 300
  7. 160
  8. 19
  9. 13
  10. 725
  11. 38
  12. 16
  13. 3
  14. 23
  15. 43
  16. 11
  17. 28
  18. 9
  19. 31
  20. 8
  21. 23
  22. 6
  23. 30
  24. 11
  25. 3
  26. 20
  27. 17
  28. 11
  29. 5
  30. 255
  31. 21
  32. 700
  33. 45
  34. 280
  35. 9
  36. 10
  37. 20
  38. 10
  39. 19
  40. 8

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