1 / 34

Motion Problems 2

Motion Problems 2. A man bikes from A to B at 20 km/h. He returns by car at 60 km/h. The bike trip is 2 hours longer than the car trip. How far is it from A to B?. Which one?. R. D. T. =. Method. X. The distance is always filled in by multiplying the rate and time. 20. Bike.

rooney-franklin
Download Presentation

Motion Problems 2

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Motion Problems 2

  2. A man bikes from A to B at 20 km/h. He returns by car at 60 km/h. The bike trip is 2 hours longer than the car trip. How far is it from A to B?

  3. Which one?

  4. R D T = Method X The distance is always filled in by multiplying the rate and time. 20 Bike 20(x + 2) x + 2 Car 60 x 60x Distances are equal.

  5. 20(x+2) = 60x 20x+40 = 60x -20x -20x 40 = 40x 40 40 1 = x

  6. A man bikes from A to B at 20 km/h. He returns by car at 60 km/h. The bike trip is 2 hours longer than the car trip. How far is it from A to B?

  7. R D T = Method X 20 Bike 20(x + 2) x + 2 Car 60 x 60x What does x represent? What represents distance?

  8. If x=1, distance is: 60x=?? 60x=60 20(x+2)=?? 20(x+2)=60

  9. The answer is: 60 km

  10. Problem #2 on Worksheet 61

  11. Vince bikes for 2 hours at 18 km/h. Then he rides by car for 3 hours. His total distance is 246 km. How fast does the car travel?

  12. Which one?

  13. None of those. It’s this one: The distances add up to the total distance.

  14. R D T = Method X The distance is always filled in by multiplying the rate and time. 36 2 18 Bike 3 3x x Car 246

  15. 36+3x = 246 -36 -36 3x = 210 3 3 x=70

  16. R D T = Method X 36 2 18 Bike 3 3x x Car 246 What does x represent?

  17. Vince bikes for 2 hours at 18 km/h. Then he rides by car for 3 hours. His total distance is 246 km. How fast does the car travel?

  18. The answer is: 70 km/h

  19. Problem #3 on Worksheet 61

  20. Cindy bikes from A to B at 20 km/h. She returns by car at 80 km/h. The bike trip is 3 hours longer than the car trip. How far is it from A to B?

  21. Which one?

  22. R D T = Method X The distance is always filled in by multiplying the rate and time. x+3 20 Bike 20(x+3) x 80x Car 80 Distances are equal.

  23. 20(x+3) = 80x 20x+60 = 80x -20x -20x 60 = 60x 60 60 1=x

  24. R D T = Method X x+3 20 Bike 20(x+3) x 80x Car 80 What does x represent?

  25. Cindy bikes from A to B at 20 km/h. She returns by car at 80 km/h. The bike trip is 3 hours longer than the car trip. How far is it from A to B?

  26. The answer is: 80x= 80(1)= 80 km

  27. Problem #4 on Worksheet 61

  28. Judy can bike 2 km/h faster than Linda. They travel in opposite directions for 2 hours. They are then 68 km apart. How fast is each girl traveling?

  29. Which one?

  30. R D T = Person X The distance is always filled in by multiplying the rate and time. 2 Judy x+2 2(x+2) 2 2x Linda x 68

  31. 2(x+2)+2x = 68 2x+4+2x = 68 4x+4 = 68 -4 -4 4x= 64 4 4 x=16

  32. R D T = Person X 2 Judy x+2 2(x+2) 2 2x Linda x 68 What does x represent?

  33. x=Linda’s rate of speed x= 16 km/h x+2=Judy’s rate of speed x+2= 18 km/h

  34. THE END

More Related