Ahomeowner estimates that it will take 11 days to roof his house. a professional roofer estimates that he could roof the house in 6 days. how long will it take if the homeowner the roofer?

It will take 3.88 days

Let x= Number of days it will take both the homeowner and the roofer to roof the house.

After x days, we can know that:

1. The homeowner will do:

of the job

2. The roofer will do:

of the job

Furthermore:

Because both complete the whole job

Solving this equation:

pi x^2

step-by-step explanation:

pi times x squared