SOLUTION: Christopher can paint the interior of his house in 15 hours. If he hires Cynthia to help him, they can do the same job together in 9 hours. If he lets Cynthia work alone, how long

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Christopher can paint the interior of his house in 15 hours. If he hires Cynthia to help him, they can do the same job together in 9 hours. If he lets Cynthia work alone, how long       Log On


   



Question 639084: Christopher can paint the interior of his house in 15 hours. If he hires Cynthia to help him, they can do the same job together in 9 hours. If he lets Cynthia work alone, how long will it take her to paint the interior of his house?
Answer by graphmatics(170) About Me  (Show Source):
You can put this solution on YOUR website!
Let t be the number of hours Cynthia needs to paint the house. Then in 1 hour:
1%2F15%2B1%2Ft=1%2F9
3t%2B45=5t
t=45%2F2=22.5
So Cynthia needs 22.5 hrs to paint the house.