Answer:
Michael's house is 16 miles away from work.
Step-by-step explanation:
We are given the following in the question:
Total distance traveled by Michael at the end of the workweek = 160 miles.
Let [tex]x[/tex] miles be the distance between Michael's house from work.
Thus, total distance covered in one day =
[tex]2x\text{ miles}[/tex]
Total distance covered in one weekday(5 days) =
[tex]2x\times 5 = 10x\text{ miles}[/tex]
Equating,
[tex]10x = 160\\\Rightarrow x = 16[/tex]
Thus, Michael's house is 16 miles away from work.
