← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 757 · 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.Two trains, 140 m and 180 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?
  2. 2.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 120 km upstream and come back?
  3. 3.Two trains, 50 m and 125 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?
  4. 4.A train 340 m long runs at 72 km/h. How many seconds does it take to cross a platform 140 m long?
  5. 5.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  6. 6.A boat goes 50 km downstream in 2 hours and 30 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  7. 7.A train running at 72 km/h passes a pole in 11 seconds. How long is the train (in metres)?
  8. 8.Two trains, 230 m and 190 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?
  9. 9.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 180 m long?
  10. 10.A boat goes at 9 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 40 km upstream and come back?
  11. 11.A train 420 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  12. 12.Two trains, 170 m and 150 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?
  13. 13.A train running at 72 km/h passes a pole in 14 seconds. How long is the train (in metres)?
  14. 14.A train running at 36 km/h passes a pole in 13 seconds. How long is the train (in metres)?
  15. 15.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 120 km upstream and come back?
  16. 16.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 460 m long?
  17. 17.Two trains, 60 m and 90 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?
  18. 18.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?
  19. 19.A train running at 36 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  20. 20.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?
  21. 21.Two trains, 140 m and 60 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?
  22. 22.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 260 m long?
  23. 23.Two trains, 70 m and 280 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?
  24. 24.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?
  25. 25.A boat goes at 7 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 24 km upstream and come back?
  26. 26.A train 100 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  27. 27.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 135 m long?
  28. 28.A boat goes at 20 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 84 km upstream and come back?
  29. 29.A boat goes 68 km downstream in 4 hours and 44 km upstream in 4 hours. What is the speed of the boat in still water (in km/h)?
  30. 30.A train running at 36 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  31. 31.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  32. 32.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?
  33. 33.A train 400 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  34. 34.A boat goes 54 km downstream in 3 hours and 24 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  35. 35.A train running at 54 km/h passes a pole in 20 seconds. How long is the train (in metres)?
  36. 36.A boat goes 60 km downstream in 5 hours and 20 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  37. 37.Two trains, 120 m and 120 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?
  38. 38.A train 435 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  39. 39.A train running at 72 km/h passes a pole in 28 seconds. How long is the train (in metres)?
  40. 40.A train 190 m long runs at 36 km/h. How many seconds does it take to cross a platform 110 m long?

Answer key

  1. 8
  2. 70
  3. 5
  4. 24
  5. 25
  6. 5
  7. 220
  8. 12
  9. 29
  10. 9
  11. 28
  12. 8
  13. 280
  14. 130
  15. 35
  16. 37
  17. 5
  18. 70
  19. 200
  20. 11
  21. 5
  22. 31
  23. 7
  24. 14
  25. 7
  26. 19
  27. 28
  28. 10
  29. 14
  30. 190
  31. 230
  32. 11
  33. 20
  34. 5
  35. 300
  36. 4
  37. 12
  38. 29
  39. 560
  40. 30

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