← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 851 · 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 90 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  2. 2.A boat goes 46 km downstream in 2 hours and 34 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  3. 3.A train running at 90 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  4. 4.A train 575 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  5. 5.A train 120 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  7. 7.A boat goes at 9 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 34 km upstream and come back?
  8. 8.A train 150 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?
  9. 9.A train running at 54 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  10. 10.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?
  11. 11.A train running at 36 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  12. 12.A boat goes at 9 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 45 km upstream and come back?
  13. 13.A boat goes at 11 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 56 km upstream and come back?
  14. 14.A train 425 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  15. 15.A train 230 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  17. 17.A boat goes 60 km downstream in 5 hours and 30 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  18. 18.A train 105 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  19. 19.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  20. 20.A boat goes 57 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)?
  21. 21.A train 600 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  22. 22.Two trains, 50 m and 390 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  23. 23.A train 285 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  24. 24.A train running at 54 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  25. 25.A train 120 m long runs at 36 km/h. How many seconds does it take to cross a platform 80 m long?
  26. 26.A train running at 90 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  27. 27.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  28. 28.A train running at 90 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  29. 29.A train 75 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  30. 30.A train 480 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 130 m and 110 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?
  32. 32.A boat goes at 13 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 84 km upstream and come back?
  33. 33.Two trains, 90 m and 260 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?
  34. 34.A boat goes at 15 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 88 km upstream and come back?
  35. 35.Two trains, 90 m and 120 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?
  36. 36.A boat goes 22 km downstream in 2 hours and 6 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  37. 37.A boat goes 24 km downstream in 2 hours and 4 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  38. 38.Two trains, 180 m and 120 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?
  39. 39.A boat goes 16 km downstream in 2 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.A train 180 m long runs at 36 km/h. How many seconds does it take to cross a platform 120 m long?

Answer key

  1. 6
  2. 3
  3. 550
  4. 23
  5. 8
  6. 28
  7. 36
  8. 27
  9. 165
  10. 13
  11. 100
  12. 18
  13. 11
  14. 36
  15. 23
  16. 29
  17. 3
  18. 7
  19. 24
  20. 17
  21. 30
  22. 11
  23. 19
  24. 210
  25. 20
  26. 525
  27. 675
  28. 250
  29. 5
  30. 24
  31. 6
  32. 13
  33. 10
  34. 15
  35. 7
  36. 4
  37. 7
  38. 12
  39. 6
  40. 30

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