SOLUTION: If Betty can paint a house in 6 hours; and Betty & Karen can paint a house in 2/3 the time it takes Karen, how long does it take Karen to paint the house alone?

Algebra ->  Proportions -> SOLUTION: If Betty can paint a house in 6 hours; and Betty & Karen can paint a house in 2/3 the time it takes Karen, how long does it take Karen to paint the house alone?      Log On


   

Question 402046: If Betty can paint a house in 6 hours; and Betty & Karen can paint a house in 2/3 the time it takes Karen, how long does it take Karen to paint the house alone?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
%28%282k%29%2F3%29%2A%281%2F6+%2B+1%2Fk%29+=+1
==> k%2F9+%2B+2%2F3+=+1
==> k%2F9+=+1%2F3
==> k = 3 hrs, the length of time it takes Karen to paint the house alone.