SOLUTION: please help Patrice,by himself, can paint four rooms in 10 hours. if he hire April to help, they can do the same job together in 6 hours. If he lets April work alone, how long wi

Algebra ->  Rate-of-work-word-problems -> SOLUTION: please help Patrice,by himself, can paint four rooms in 10 hours. if he hire April to help, they can do the same job together in 6 hours. If he lets April work alone, how long wi      Log On


   

Question 264833: please help
Patrice,by himself, can paint four rooms in 10 hours. if he hire April to help, they can do the same job together in 6 hours. If he lets April work alone, how long will it take her to paint four rooms?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Patrice,by himself, can paint four rooms in 10 hours. if he hire April to help, they can do the same job together in 6 hours. If he lets April work alone, how long will it take her to paint four rooms?
:
Let x = time when A work's alone
Let the completed job = 1 (the painting of 4 rooms)
:
A typical shared work equation
Each will do a fraction of the work, the two fractions add up to 1
6%2F10 + 6%2Fx = 1
Multiply by 10x, the results:
6x + 10(6) = 10x
6x + 60 = 10x
60 = 10x - 6x
60 = 4x
x = 60%2F4
x = 15 hrs for A to do the job alone
;
:
Check solution on a calc, enter 6/10 + 6/15 = 1