← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 165 · 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 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A train 255 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  3. 3.A boat goes at 20 km/h in still water. The river flows at 10 km/h. How many hours does the boat take to go 90 km upstream and come back?
  4. 4.A boat goes 55 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)?
  5. 5.A train 90 m long runs at 54 km/h. How many seconds does it take to cross a platform 330 m long?
  6. 6.Two trains, 140 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?
  7. 7.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  8. 8.A boat goes 28 km downstream in 2 hours and 12 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  9. 9.A boat goes 56 km downstream in 4 hours and 24 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  10. 10.A boat goes at 13 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 60 km upstream and come back?
  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 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 60 km upstream and come back?
  13. 13.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  14. 14.A train running at 54 km/h passes a pole in 26 seconds. How long is the train (in metres)?
  15. 15.A boat goes at 11 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 48 km upstream and come back?
  16. 16.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?
  17. 17.A boat goes at 12 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 21 km upstream and come back?
  18. 18.A train 200 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  19. 19.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.Two trains, 70 m and 350 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?
  21. 21.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  22. 22.A train 520 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  23. 23.A boat goes 84 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  24. 24.A boat goes 88 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  25. 25.A train 90 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes 36 km downstream in 4 hours and 20 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  27. 27.A train 750 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  28. 28.A boat goes at 11 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 117 km upstream and come back?
  29. 29.A boat goes 51 km downstream in 3 hours and 45 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train 600 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A train running at 54 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  32. 32.A train running at 54 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  33. 33.A train 190 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  34. 34.A train 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  35. 35.Two trains, 60 m and 360 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 train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  37. 37.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?
  38. 38.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  39. 39.A train 340 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  40. 40.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?

Answer key

  1. 5
  2. 17
  3. 12
  4. 8
  5. 28
  6. 12
  7. 23
  8. 4
  9. 10
  10. 13
  11. 14
  12. 12
  13. 11
  14. 390
  15. 11
  16. 23
  17. 8
  18. 28
  19. 5
  20. 12
  21. 210
  22. 26
  23. 19
  24. 20
  25. 9
  26. 7
  27. 30
  28. 22
  29. 16
  30. 24
  31. 435
  32. 195
  33. 19
  34. 6
  35. 12
  36. 7
  37. 13
  38. 22
  39. 17
  40. 26

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