average rate of speed
DESCRIPTION
Average Rate of Speed - a Simple Solution to a Confusing Problem Ask people the following problem, and almost all of them will get it wrong: “If a car goes up a hill at 20 m.p.h. and comes down the same hill at 30 m.p.h., what is the average rate of speed for the whole trip?” The “obvious” answer is 25 m.p.h., but that would be wrong. This slideshow shares some simple solutions to problems of this type.TRANSCRIPT
![Page 1: Average Rate Of Speed](https://reader034.vdocuments.us/reader034/viewer/2022050922/557ad130d8b42a2c0f8b50cf/html5/thumbnails/1.jpg)
[email protected] http://mrlsmath.comwww.tttpress.com
“Building mathematical skill on a foundation of understanding”
Average Rate of Speed - a Simple Solution to a Confusing Problem
A tool to help meet the California Mathematics Standards
presentation by Bill Lombard
![Page 2: Average Rate Of Speed](https://reader034.vdocuments.us/reader034/viewer/2022050922/557ad130d8b42a2c0f8b50cf/html5/thumbnails/2.jpg)
2
Average Rate of Speed - a Simple Solution to a Confusing Problem
Ask people the following problem, and almost all of them will get it wrong: “If a car goes up a hill at 20 m.p.h. and comes down the same hill at 30 m.p.h., what is the average rate of speed for the whole trip?”
The “obvious” answer is 25 m.p.h., but that would be wrong. Take a quick look at a slideshow of some of the projects my students have done to see some nice explanations of confounding problems like these.Simply stated, since the car spends more time traveling at the slower speed, this has the effect of reducing the average rate of speed below the average of 20 and 30. The surprising answer to this poser is 24 m.p.h.
![Page 3: Average Rate Of Speed](https://reader034.vdocuments.us/reader034/viewer/2022050922/557ad130d8b42a2c0f8b50cf/html5/thumbnails/3.jpg)
3
![Page 4: Average Rate Of Speed](https://reader034.vdocuments.us/reader034/viewer/2022050922/557ad130d8b42a2c0f8b50cf/html5/thumbnails/4.jpg)
4
![Page 5: Average Rate Of Speed](https://reader034.vdocuments.us/reader034/viewer/2022050922/557ad130d8b42a2c0f8b50cf/html5/thumbnails/5.jpg)
5
![Page 6: Average Rate Of Speed](https://reader034.vdocuments.us/reader034/viewer/2022050922/557ad130d8b42a2c0f8b50cf/html5/thumbnails/6.jpg)
6
![Page 7: Average Rate Of Speed](https://reader034.vdocuments.us/reader034/viewer/2022050922/557ad130d8b42a2c0f8b50cf/html5/thumbnails/7.jpg)
7
![Page 8: Average Rate Of Speed](https://reader034.vdocuments.us/reader034/viewer/2022050922/557ad130d8b42a2c0f8b50cf/html5/thumbnails/8.jpg)
8
![Page 9: Average Rate Of Speed](https://reader034.vdocuments.us/reader034/viewer/2022050922/557ad130d8b42a2c0f8b50cf/html5/thumbnails/9.jpg)
9
![Page 10: Average Rate Of Speed](https://reader034.vdocuments.us/reader034/viewer/2022050922/557ad130d8b42a2c0f8b50cf/html5/thumbnails/10.jpg)
10
![Page 11: Average Rate Of Speed](https://reader034.vdocuments.us/reader034/viewer/2022050922/557ad130d8b42a2c0f8b50cf/html5/thumbnails/11.jpg)
11
![Page 12: Average Rate Of Speed](https://reader034.vdocuments.us/reader034/viewer/2022050922/557ad130d8b42a2c0f8b50cf/html5/thumbnails/12.jpg)
12
![Page 13: Average Rate Of Speed](https://reader034.vdocuments.us/reader034/viewer/2022050922/557ad130d8b42a2c0f8b50cf/html5/thumbnails/13.jpg)
13
![Page 14: Average Rate Of Speed](https://reader034.vdocuments.us/reader034/viewer/2022050922/557ad130d8b42a2c0f8b50cf/html5/thumbnails/14.jpg)
14
![Page 15: Average Rate Of Speed](https://reader034.vdocuments.us/reader034/viewer/2022050922/557ad130d8b42a2c0f8b50cf/html5/thumbnails/15.jpg)
15
![Page 16: Average Rate Of Speed](https://reader034.vdocuments.us/reader034/viewer/2022050922/557ad130d8b42a2c0f8b50cf/html5/thumbnails/16.jpg)
16
![Page 17: Average Rate Of Speed](https://reader034.vdocuments.us/reader034/viewer/2022050922/557ad130d8b42a2c0f8b50cf/html5/thumbnails/17.jpg)
17
![Page 18: Average Rate Of Speed](https://reader034.vdocuments.us/reader034/viewer/2022050922/557ad130d8b42a2c0f8b50cf/html5/thumbnails/18.jpg)
18
![Page 19: Average Rate Of Speed](https://reader034.vdocuments.us/reader034/viewer/2022050922/557ad130d8b42a2c0f8b50cf/html5/thumbnails/19.jpg)
19
![Page 20: Average Rate Of Speed](https://reader034.vdocuments.us/reader034/viewer/2022050922/557ad130d8b42a2c0f8b50cf/html5/thumbnails/20.jpg)
20
![Page 21: Average Rate Of Speed](https://reader034.vdocuments.us/reader034/viewer/2022050922/557ad130d8b42a2c0f8b50cf/html5/thumbnails/21.jpg)
21
![Page 22: Average Rate Of Speed](https://reader034.vdocuments.us/reader034/viewer/2022050922/557ad130d8b42a2c0f8b50cf/html5/thumbnails/22.jpg)
22