Answer:
The average speed for the whole rally is 45 miles per hour.
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 = (distance)/(time)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/wbeogvaxs9gox52s9kfcvvd683ffhlf2c0.png)
![Speed = (30)/(1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/it41sorktzx2fpn2c49sjbf7syys83fptw.png)
![Speed = 30\ miles\ per\ hour](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tsbkupylt3pc0wkd31jeuqcdymb4fwxyo6.png)
Now, to get the speed of 30 miles south in half hour same way as above:
![Speed=(30)/(0.5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qugoytxsg7jfhr5fff52itlgb5on16omml.png)
![Speed = 60\ miles\ per\ hour](https://img.qammunity.org/2020/formulas/mathematics/middle-school/u54ac1hli1u5uyn4e3vd89pupatob1siir.png)
Then, to get the average speed.
We calculate the average of both the speed:
![Average=(30+60)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/p340g6vivb0ryn1q1i1lr8wsphiegy308k.png)
![Average=(90)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6vtl2ch1rbi1f2m401n87hjio35xfd2kjy.png)
![Average=45 miles\ per\ hour.](https://img.qammunity.org/2020/formulas/mathematics/middle-school/uq3f4u8aosdxhe5qa1bbujnno3nttc3bqk.png)
Therefore, the average speed for the whole rally is 45 miles per hour.