← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 188 · 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 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 560 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  3. 3.A train 195 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  4. 4.A train 240 m long runs at 54 km/h. How many seconds does it take to cross a platform 90 m long?
  5. 5.A boat goes at 10 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?
  6. 6.A train 170 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  7. 7.A train running at 36 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  8. 8.A train 675 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  9. 9.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  10. 10.A train 110 m long runs at 36 km/h. How many seconds does it take to cross a platform 70 m long?
  11. 11.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 54 km upstream and come back?
  12. 12.A boat goes at 18 km/h in still water. The river flows at 14 km/h. How many hours does the boat take to go 32 km upstream and come back?
  13. 13.A boat goes 32 km downstream in 2 hours and 16 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  14. 14.Two trains, 80 m and 160 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?
  15. 15.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 225 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 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  18. 18.A boat goes 45 km downstream in 3 hours and 15 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  19. 19.A boat goes 34 km downstream in 2 hours and 22 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  20. 20.A train 240 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  21. 21.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?
  22. 22.A boat goes at 10 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 105 km upstream and come back?
  23. 23.A train running at 36 km/h passes a pole in 9 seconds. How long is the train (in metres)?
  24. 24.A train running at 36 km/h passes a pole in 24 seconds. How long is the train (in metres)?
  25. 25.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 125 m long?
  26. 26.Two trains, 180 m and 120 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?
  27. 27.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  28. 28.A train 250 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  29. 29.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 300 m long?
  30. 30.A boat goes 65 km downstream in 5 hours and 25 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  31. 31.A train 175 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  32. 32.Two trains, 230 m and 70 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?
  33. 33.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 170 m long?
  34. 34.A train running at 72 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  35. 35.Two trains, 140 m and 105 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?
  36. 36.A boat goes at 8 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 55 km upstream and come back?
  37. 37.A boat goes 39 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  38. 38.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)?
  39. 39.Two trains, 180 m and 100 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.Two trains, 210 m and 150 m long, run towards each other on side-by-side tracks at 54 km/h and 54 km/h. How many seconds do they take to cross each other?

Answer key

  1. 18
  2. 28
  3. 13
  4. 22
  5. 20
  6. 17
  7. 110
  8. 27
  9. 17
  10. 18
  11. 60
  12. 9
  13. 12
  14. 8
  15. 21
  16. 11
  17. 15
  18. 10
  19. 14
  20. 16
  21. 7
  22. 28
  23. 90
  24. 240
  25. 16
  26. 6
  27. 6
  28. 10
  29. 38
  30. 9
  31. 7
  32. 12
  33. 24
  34. 460
  35. 7
  36. 16
  37. 3
  38. 3
  39. 8
  40. 12

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