← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 52 · 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 32 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  2. 2.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?
  3. 3.Two trains, 100 m and 350 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?
  4. 4.A boat goes 80 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  5. 5.A train running at 36 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  6. 6.A train 325 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  8. 8.A train 270 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.Two trains, 60 m and 215 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?
  10. 10.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?
  11. 11.A boat goes at 12 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 40 km upstream and come back?
  12. 12.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  13. 13.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  14. 14.Two trains, 80 m and 195 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?
  15. 15.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  16. 16.Two trains, 200 m and 70 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?
  17. 17.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A boat goes at 7 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 72 km upstream and come back?
  19. 19.A boat goes at 5 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 48 km upstream and come back?
  20. 20.Two trains, 100 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?
  21. 21.A train running at 54 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  22. 22.Two trains, 80 m and 160 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?
  23. 23.A boat goes 28 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  24. 24.A train 325 m long runs at 90 km/h. How many seconds does it take to cross a platform 525 m long?
  25. 25.A train 180 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes 70 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  27. 27.Two trains, 250 m and 100 m long, run towards each other on side-by-side tracks at 54 km/h and 72 km/h. How many seconds do they take to cross each other?
  28. 28.Two trains, 50 m and 150 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?
  29. 29.Two trains, 180 m and 135 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?
  30. 30.Two trains, 230 m and 130 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?
  31. 31.A boat goes 34 km downstream in 2 hours and 26 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  32. 32.A boat goes 50 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  33. 33.A boat goes at 7 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?
  34. 34.A train running at 90 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  35. 35.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  36. 36.A boat goes at 6 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 96 km upstream and come back?
  37. 37.Two trains, 130 m and 365 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?
  38. 38.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  39. 39.A train 200 m long runs at 72 km/h. How many seconds does it take to cross a platform 440 m long?
  40. 40.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?

Answer key

  1. 15
  2. 13
  3. 10
  4. 12
  5. 300
  6. 13
  7. 460
  8. 27
  9. 11
  10. 24
  11. 12
  12. 15
  13. 24
  14. 11
  15. 200
  16. 6
  17. 19
  18. 42
  19. 20
  20. 8
  21. 420
  22. 12
  23. 3
  24. 34
  25. 9
  26. 2
  27. 10
  28. 10
  29. 9
  30. 12
  31. 15
  32. 1
  33. 28
  34. 350
  35. 165
  36. 36
  37. 11
  38. 14
  39. 32
  40. 18

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