Respuesta :

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.