← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 791 · 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 at 5 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 99 km upstream and come back?
  2. 2.A train 400 m long runs at 90 km/h. How many seconds does it take to cross a platform 325 m long?
  3. 3.Two trains, 50 m and 130 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?
  4. 4.A boat goes 60 km downstream in 5 hours and 40 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  5. 5.A train 225 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  6. 6.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  7. 7.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 63 km upstream and come back?
  8. 8.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  9. 9.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  10. 10.A boat goes at 18 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 120 km upstream and come back?
  11. 11.A train 160 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  12. 12.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  13. 13.Two trains, 190 m and 55 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?
  14. 14.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  15. 15.Two trains, 100 m and 100 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?
  16. 16.A train running at 90 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  17. 17.A boat goes 51 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  18. 18.A boat goes 30 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  19. 19.A boat goes at 13 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 69 km upstream and come back?
  20. 20.Two trains, 50 m and 400 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?
  21. 21.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  22. 22.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  24. 24.A boat goes 63 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train 120 m long runs at 54 km/h. How many seconds does it take to cross a platform 150 m long?
  26. 26.Two trains, 90 m and 85 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?
  27. 27.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 350 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.A train running at 54 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  30. 30.Two trains, 60 m and 185 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?
  31. 31.A boat goes 69 km downstream in 3 hours and 39 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  32. 32.Two trains, 150 m and 130 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?
  33. 33.A train 315 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  34. 34.Two trains, 210 m and 140 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?
  35. 35.A boat goes 54 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)?
  36. 36.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  37. 37.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  38. 38.A train 200 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  39. 39.Two trains, 210 m and 175 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?
  40. 40.A boat goes 60 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the stream (in km/h)?

Answer key

  1. 110
  2. 29
  3. 9
  4. 2
  5. 21
  6. 29
  7. 70
  8. 27
  9. 220
  10. 24
  11. 25
  12. 9
  13. 7
  14. 25
  15. 10
  16. 225
  17. 15
  18. 4
  19. 26
  20. 9
  21. 17
  22. 25
  23. 17
  24. 17
  25. 18
  26. 7
  27. 15
  28. 14
  29. 180
  30. 7
  31. 5
  32. 8
  33. 21
  34. 10
  35. 17
  36. 41
  37. 220
  38. 20
  39. 11
  40. 5

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