Michael drives to work and home from work each workday. He travels a total of 160 miles at the end of the workweek. How far is Michael's house from work?

Question

asked Jan 19, 2021 226k views

1 Answer

Tobias Bergkvist · Answer 1 · 2021-01-25T12:30:10+0000

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 =

$2x\text{ miles}$

Total distance covered in one weekday(5 days) =

$2x* 5 = 10x\text{ miles}$

Equating,

$10x = 160\\\Rightarrow x = 16$

Thus, Michael's house is 16 miles away from work.