SOLUTION: If John cleans a house in 8 hours and Julie cleans a similar house in 6 hours, how long should it take them to clean another similar house working together?

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: If John cleans a house in 8 hours and Julie cleans a similar house in 6 hours, how long should it take them to clean another similar house working together?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 139272: If John cleans a house in 8 hours and Julie cleans a similar house in 6 hours, how long should it take them to clean another similar house working together?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
John cleans one whole house in 8 hours, so he can clean 1%2F8 of a house in 1 hour. Likewise, Julie can clean 1%2F6 of a house in 1 hour.

Together they can clean 1%2F8%2B1%2F6=3%2F24%2B4%2F24=7%2F24 of a house in 1 hour. Therefore it would take them 24%2F7 or three and one-seventh hours to clean one whole house together.