← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 809 · 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 240 m long runs at 72 km/h. How many seconds does it take to cross a platform 360 m long?
  2. 2.A boat goes 36 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  3. 3.A train running at 36 km/h passes a pole in 16 seconds. How long is the train (in metres)?
  4. 4.A boat goes at 15 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 81 km upstream and come back?
  5. 5.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 48 km upstream and come back?
  6. 6.A train running at 36 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  7. 7.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 275 m long?
  9. 9.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?
  10. 10.Two trains, 110 m and 65 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?
  11. 11.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?
  12. 12.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?
  13. 13.A train running at 36 km/h passes a pole in 6 seconds. How long is the train (in metres)?
  14. 14.A train running at 54 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  15. 15.A train 380 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  16. 16.A boat goes 96 km downstream in 4 hours and 64 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  17. 17.A boat goes at 5 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 21 km upstream and come back?
  18. 18.A boat goes 34 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  19. 19.A train 225 m long runs at 90 km/h. How many seconds does it take to cross a platform 200 m long?
  20. 20.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  21. 21.A boat goes at 13 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?
  22. 22.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?
  23. 23.A boat goes 36 km downstream in 2 hours and 20 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  24. 24.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)?
  25. 25.Two trains, 150 m and 50 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?
  26. 26.A train 200 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  27. 27.Two trains, 90 m and 70 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?
  28. 28.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 380 m long runs at 72 km/h. How many seconds does it take to cross a platform 400 m long?
  30. 30.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  31. 31.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  32. 32.A boat goes at 18 km/h in still water. The river flows at 17 km/h. How many hours does the boat take to go 35 km upstream and come back?
  33. 33.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 50 m long?
  34. 34.Two trains, 230 m and 85 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?
  35. 35.A boat goes at 14 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 66 km upstream and come back?
  36. 36.A train 280 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 180 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  38. 38.A train running at 54 km/h passes a pole in 17 seconds. How long is the train (in metres)?
  39. 39.A boat goes 65 km downstream in 5 hours and 45 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  40. 40.A train running at 90 km/h passes a pole in 17 seconds. How long is the train (in metres)?

Answer key

  1. 30
  2. 3
  3. 160
  4. 30
  5. 30
  6. 210
  7. 10
  8. 20
  9. 14
  10. 5
  11. 12
  12. 7
  13. 60
  14. 285
  15. 19
  16. 20
  17. 10
  18. 1
  19. 17
  20. 225
  21. 13
  22. 42
  23. 4
  24. 6
  25. 8
  26. 10
  27. 4
  28. 5
  29. 39
  30. 225
  31. 27
  32. 36
  33. 10
  34. 7
  35. 14
  36. 28
  37. 12
  38. 255
  39. 2
  40. 425

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