← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 82 · 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 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 112 km upstream and come back?
  2. 2.A boat goes at 8 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 60 km upstream and come back?
  3. 3.A boat goes 27 km downstream in 3 hours and 21 km upstream in 3 hours. What is the speed of the boat in still water (in km/h)?
  4. 4.A train 285 m long runs at 54 km/h. How many seconds does it take to cross a platform 75 m long?
  5. 5.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  6. 6.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  7. 7.A train 375 m long runs at 90 km/h. How many seconds does it take to cross a platform 550 m long?
  8. 8.A train 300 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  9. 9.Two trains, 60 m and 60 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?
  10. 10.A boat goes at 9 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 65 km upstream and come back?
  11. 11.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 190 m long?
  12. 12.Two trains, 130 m and 150 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?
  13. 13.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 117 km upstream and come back?
  14. 14.A train 50 m long runs at 36 km/h. How many seconds does it take to cross a platform 220 m long?
  15. 15.A boat goes at 6 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 54 km upstream and come back?
  16. 16.A train running at 90 km/h passes a pole in 12 seconds. How long is the train (in metres)?
  17. 17.A boat goes at 17 km/h in still water. The river flows at 11 km/h. How many hours does the boat take to go 84 km upstream and come back?
  18. 18.A train 450 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  19. 19.Two trains, 100 m and 170 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?
  20. 20.A train running at 72 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  21. 21.A train running at 54 km/h passes a pole in 8 seconds. How long is the train (in metres)?
  22. 22.A train 210 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 275 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  24. 24.A train 260 m long runs at 72 km/h. How many seconds does it take to cross a platform 240 m long?
  25. 25.A train 375 m long runs at 54 km/h. How many seconds does it take to pass a pole?
  26. 26.A train running at 36 km/h passes a pole in 23 seconds. How long is the train (in metres)?
  27. 27.A boat goes at 20 km/h in still water. The river flows at 12 km/h. How many hours does the boat take to go 64 km upstream and come back?
  28. 28.A train 80 m long runs at 36 km/h. How many seconds does it take to cross a platform 250 m long?
  29. 29.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 72 km upstream and come back?
  30. 30.A train 500 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  31. 31.A boat goes 85 km downstream in 5 hours and 65 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  32. 32.Two trains, 80 m and 200 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?
  33. 33.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 102 km upstream and come back?
  34. 34.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?
  35. 35.A train running at 90 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  36. 36.A train 425 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A train 90 m long runs at 36 km/h. How many seconds does it take to cross a platform 180 m long?
  38. 38.A train running at 54 km/h passes a pole in 21 seconds. How long is the train (in metres)?
  39. 39.A boat goes 39 km downstream in 3 hours and 9 km upstream in 3 hours. What is the speed of the stream (in km/h)?
  40. 40.A train 450 m long runs at 54 km/h. How many seconds does it take to pass a pole?

Answer key

  1. 60
  2. 16
  3. 8
  4. 24
  5. 5
  6. 22
  7. 37
  8. 34
  9. 6
  10. 18
  11. 27
  12. 8
  13. 130
  14. 27
  15. 24
  16. 300
  17. 17
  18. 18
  19. 9
  20. 100
  21. 120
  22. 21
  23. 11
  24. 25
  25. 25
  26. 230
  27. 10
  28. 33
  29. 21
  30. 20
  31. 2
  32. 7
  33. 108
  34. 11
  35. 475
  36. 17
  37. 27
  38. 315
  39. 5
  40. 30

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