Answer:
The average speed for the whole rally is <u>45 miles per hour</u>.
Step-by-step explanation:
Given:
You have traveled 30 miles east and then 30 miles north. To get back to the start, I travel 30 miles west in 1 hour and then 30 miles south in a half hour.
Now, to find the average speed for the whole rally.
So, for getting the speed of 30 miles west in 1 hour.
By putting formula:
![Speed = \frac{distance}{time}](https://tex.z-dn.net/?f=Speed%20%3D%20%5Cfrac%7Bdistance%7D%7Btime%7D)
![Speed = \frac{30}{1}](https://tex.z-dn.net/?f=Speed%20%3D%20%5Cfrac%7B30%7D%7B1%7D)
![Speed = 30\ miles\ per\ hour](https://tex.z-dn.net/?f=Speed%20%3D%2030%5C%20miles%5C%20per%5C%20hour)
Now, to get the speed of 30 miles south in half hour same way as above:
![Speed=\frac{30}{0.5}](https://tex.z-dn.net/?f=Speed%3D%5Cfrac%7B30%7D%7B0.5%7D)
![Speed = 60\ miles\ per\ hour](https://tex.z-dn.net/?f=Speed%20%3D%2060%5C%20miles%5C%20per%5C%20hour)
Then, to get the average speed.
We calculate the average of both the speed:
![Average=\frac{30+60}{2}](https://tex.z-dn.net/?f=Average%3D%5Cfrac%7B30%2B60%7D%7B2%7D)
![Average=\frac{90}{2}](https://tex.z-dn.net/?f=Average%3D%5Cfrac%7B90%7D%7B2%7D)
![Average=45 miles\ per\ hour.](https://tex.z-dn.net/?f=Average%3D45%20miles%5C%20per%5C%20hour.)
Therefore, the average speed for the whole rally is 45 miles per hour.