Answer:
Michael's house is 16 miles away from work.
Explanation:
We are given the following in the question:
Total distance traveled by Michael at the end of the workweek = 160 miles.
Let
miles be the distance between Michael's house from work.
Thus, total distance covered in one day =
![2x\text{ miles}](https://img.qammunity.org/2021/formulas/mathematics/high-school/tzjgptprgppm77gqemn3a4mvrbkdrlar7j.png)
Total distance covered in one weekday(5 days) =
![2x* 5 = 10x\text{ miles}](https://img.qammunity.org/2021/formulas/mathematics/high-school/9xzxot3sjf1wnkox99v355e9kllhrzumfe.png)
Equating,
![10x = 160\\\Rightarrow x = 16](https://img.qammunity.org/2021/formulas/mathematics/high-school/rhe5cgx9n9xfa0pnt7ygi7iwczlivetsqp.png)
Thus, Michael's house is 16 miles away from work.