SOLUTION: Julien can mulch a garden in 20 minutes. Together, Julien and Remy can mulch the same garden in 11 minutes. How long will it take Remy to mulch the garden when working alone?

Question 262135: Julien can mulch a garden in 20 minutes. Together, Julien and Remy can mulch the same garden in 11 minutes. How long will it take Remy to mulch the garden when working alone?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Julien can mulch a garden in 20 minutes.
Together, Julien and Remy can mulch the same garden in 11 minutes.
How long will it take Remy to mulch the garden when working alone?
:
Let r = time in minutes required when R works alone
:
Let the completed job = 1 (a mulched lawn)
:
A typical shared work equation
(each will do a fraction of the work; the two fractions add up to 1)
+ = 1
Multiply equation by 20r, results
11r + 20(11) = 20r
220 = 20r - 11r
220 = 9r
r =
r = 24.44 min, R by himself
;
;
Check on a calc:
11/20 + 11/24.44 =
.55 + .45 = 1
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