SOLUTION: Working together on a job patrice by himself can paint four rooms in 10 hours. if he hires april to help they can do the same job together in 6 hours. if he lets april work alone h

Question 68586: Working together on a job patrice by himself can paint four rooms in 10 hours. if he hires 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 4 rooms.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Working together on a job Patrick by himself can paint four rooms in 10 hours. if he hires 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 4 rooms.
:
Let t = time required by April to do it alone: Let the completed job = 1
:
= 1
:
Multiply the equation by 10t to get rid of the denominators:
6t + 10(6) = 10t
:
6t + 60 = 10t
:
6t - 10t = -60
:
-4t = -60
:
t = -60/-4
:
t = +15 hrs for A to paint the 4 rooms alone
:
:
Check:
= 1
:
Did this make sense to you?
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