2. Aaron cannot paint a door in 6 hours and Anna can do the same job in 3 hours. Working together, how many hours will it take them to paint a door?

Question

Homework help

Answer 1

You said "Aaron cannot paint a door in 6 hours"

which would make this question unanswerable...

 

Assuming you meant "Aaron can paint a door in 6 hours" then:

 

Aaron does 1/6 of the job per hour

Anna does 1/3 of the job per hour

Together they do 1/6 + 1/3 = 1/2 of the job per hour

 

This means it would take 2 hours to do the job together:

 

Algebraically it looks like this:

(1/6 + 1/3)h = 1

(1/6 + 2/6)h = 1

(1/2)h = 1

h = 2 hours to complete the job together