SOLUTION: 1. James and Charles working together can paint a house in 9 days. James. a faster painter can do alone the work in 15 days. How long will it tale Charles to paint the house alone?

Question 214120: 1. James and Charles working together can paint a house in 9 days. James. a faster painter can do alone the work in 15 days. How long will it tale Charles to paint the house alone?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
James and Charles working together can paint a house in 9 days. James, a faster painter, can do alone the work in 15 days.
How long will it tale Charles to paint the house alone?
;
Let c = time required by Charles, working alone
:
Let the completed job = 1 (the painted house)
;
+ = 1
;
Multiply equation by 15c, results
9c + 9(15) = 15c
:
9c + 135 = 15c
:
135 = 15c - 9c
:
135 = 6c
c =
c = 22.5 days, Charles working alone
:
:
Check solution
+ = 1
.6 + .4 = 1
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