← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 361 · 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 225 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  2. 2.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  3. 3.A boat goes 95 km downstream in 5 hours and 55 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  4. 4.A boat goes at 13 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 105 km upstream and come back?
  5. 5.A boat goes 18 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  6. 6.A boat goes 26 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  7. 7.A boat goes at 15 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 116 km upstream and come back?
  8. 8.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.Two trains, 190 m and 215 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?
  10. 10.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  11. 11.A boat goes at 14 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 90 km upstream and come back?
  12. 12.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  13. 13.A boat goes at 14 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 48 km upstream and come back?
  14. 14.A train running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  15. 15.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  17. 17.Two trains, 210 m and 140 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?
  18. 18.Two trains, 90 m and 50 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?
  19. 19.Two trains, 220 m and 220 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?
  20. 20.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 17 km upstream and come back?
  21. 21.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 60 m and 90 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?
  23. 23.Two trains, 180 m and 90 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?
  24. 24.A train running at 90 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  25. 25.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  26. 26.Two trains, 220 m and 50 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?
  27. 27.A train 300 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  28. 28.Two trains, 70 m and 130 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  29. 29.A train running at 72 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  30. 30.A boat goes at 12 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 119 km upstream and come back?
  31. 31.A boat goes at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 36 km upstream and come back?
  32. 32.Two trains, 240 m and 75 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?
  33. 33.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  34. 34.Two trains, 80 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?
  35. 35.Two trains, 150 m and 90 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?
  36. 36.Two trains, 60 m and 360 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?
  37. 37.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  38. 38.A boat goes 80 km downstream in 5 hours and 60 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  39. 39.A boat goes 80 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A boat goes at 15 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 88 km upstream and come back?

Answer key

  1. 9
  2. 110
  3. 4
  4. 26
  5. 1
  6. 5
  7. 120
  8. 24
  9. 9
  10. 475
  11. 14
  12. 15
  13. 7
  14. 725
  15. 11
  16. 17
  17. 10
  18. 4
  19. 11
  20. 18
  21. 30
  22. 5
  23. 9
  24. 325
  25. 13
  26. 9
  27. 30
  28. 8
  29. 180
  30. 24
  31. 40
  32. 9
  33. 5
  34. 8
  35. 8
  36. 12
  37. 10
  38. 2
  39. 11
  40. 15

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