← Trains, boats and streams lesson New set →

Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 604 · 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 running at 90 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  2. 2.A boat goes 44 km downstream in 2 hours and 24 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  3. 3.Two trains, 90 m and 120 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?
  4. 4.A train 360 m long runs at 72 km/h. How many seconds does it take to cross a platform 380 m long?
  5. 5.A train 130 m long runs at 36 km/h. How many seconds does it take to cross a platform 160 m long?
  6. 6.A boat goes at 5 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 48 km upstream and come back?
  7. 7.A train 180 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  8. 8.Two trains, 80 m and 160 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?
  9. 9.A boat goes at 7 km/h in still water. The river flows at 4 km/h. How many hours does the boat take to go 33 km upstream and come back?
  10. 10.A boat goes 88 km downstream in 4 hours and 72 km upstream in 4 hours. What is the speed of the stream (in km/h)?
  11. 11.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 24 km upstream and come back?
  12. 12.A boat goes at 11 km/h in still water. The river flows at 6 km/h. How many hours does the boat take to go 85 km upstream and come back?
  13. 13.A boat goes at 10 km/h in still water. The river flows at 3 km/h. How many hours does the boat take to go 91 km upstream and come back?
  14. 14.Two trains, 70 m and 180 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?
  15. 15.A train 250 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  16. 16.A train 70 m long runs at 36 km/h. How many seconds does it take to cross a platform 90 m long?
  17. 17.A train 60 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 54 km/h passes a pole in 25 seconds. How long is the train (in metres)?
  19. 19.A train 220 m long runs at 72 km/h. How many seconds does it take to cross a platform 320 m long?
  20. 20.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 30 km upstream and come back?
  21. 21.A boat goes 95 km downstream in 5 hours and 85 km upstream in 5 hours. What is the speed of the boat in still water (in km/h)?
  22. 22.A train 725 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  23. 23.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 450 m long?
  24. 24.A train 280 m long runs at 72 km/h. How many seconds does it take to cross a platform 340 m long?
  25. 25.A boat goes 60 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  26. 26.A boat goes at 17 km/h in still water. The river flows at 9 km/h. How many hours does the boat take to go 104 km upstream and come back?
  27. 27.Two trains, 50 m and 350 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?
  28. 28.A boat goes 24 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)?
  29. 29.A train 75 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?
  30. 30.Two trains, 80 m and 270 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?
  31. 31.A boat goes at 8 km/h in still water. The river flows at 1 km/h. How many hours does the boat take to go 63 km upstream and come back?
  32. 32.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  33. 33.A boat goes at 11 km/h in still water. The river flows at 8 km/h. How many hours does the boat take to go 57 km upstream and come back?
  34. 34.A boat goes 26 km downstream in 2 hours and 10 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  35. 35.Two trains, 60 m and 115 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?
  36. 36.A train 375 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  37. 37.A boat goes at 8 km/h in still water. The river flows at 5 km/h. How many hours does the boat take to go 78 km upstream and come back?
  38. 38.A train running at 36 km/h passes a pole in 22 seconds. How long is the train (in metres)?
  39. 39.Two trains, 50 m and 265 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?
  40. 40.A train 255 m long runs at 54 km/h. How many seconds does it take to cross a platform 240 m long?

Answer key

  1. 725
  2. 17
  3. 6
  4. 37
  5. 29
  6. 30
  7. 18
  8. 12
  9. 14
  10. 2
  11. 5
  12. 22
  13. 20
  14. 10
  15. 25
  16. 16
  17. 6
  18. 375
  19. 27
  20. 8
  21. 18
  22. 29
  23. 23
  24. 31
  25. 1
  26. 17
  27. 8
  28. 8
  29. 21
  30. 10
  31. 16
  32. 27
  33. 22
  34. 4
  35. 5
  36. 15
  37. 32
  38. 220
  39. 9
  40. 33

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