Question

The Slow Fix auto shop charges $28 for parts and $48 per hour of labor. The We Work Cheaper auto shop charges $59 for parts and $44.90 per hour of labor. For how many hours will the total cost the same for both auto shops?

Answer 1

Answer: 10 hours

Explanation:

Given

Slow fix auto charge $28 for parts and $48 per hour of labor

We work charge $59 for parts and $44.90 per hour of labor

Suppose both works for x hours

Cost of Slow fix=
`\$(28+48x)`

Cost of We work=
`\$(59+44.90x)`

When these costs are the same

`28+48x=59+44.90x\\3.1x=31\\x=10\ hours`