Answer:
16 miles
Step-by-step explanation:
Assume the working day in a week is 5.
Given:
Michael drives 160 miles at the end of the work week. therefore as per assumption,
5 days of travelling distance = 160 miles
To find the distance of Micheal's house from work.
Solution:-
5 days of travelling distance = 160 miles --------------------(given)
Now,
Per day driving for work = [tex]\frac{5\ days\ of\ travelling\ distance}{5}[/tex]
Per day driving for work = [tex]\frac{160}{5}[/tex]
Per day driving for work = [tex]32\ miles[/tex]
So, Micheal drives to work each day is 32 miles.
Therefore, the one side driving of Micheal is equal to distance of Micheal's house from work.
One side driving of Micheal = [tex]\frac{Per\ day\ driving}{2}[/tex]
One side driving of Micheal = [tex]\frac{32}{2}[/tex]
One side driving of Micheal = 16 miles
Therefore, the distance of Micheal's house from work is 16 miles.