<PRE><B>Question 262135</B>
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)
{{{11/20}}} + {{{11/r}}} = 1
Multiply equation by 20r, results
11r + 20(11) = 20r
220 = 20r - 11r
220 = 9r
r = {{{220/9}}}
r = 24.44 min, R by himself
;
;
Check on a calc:
11/20 + 11/24.44 =
.55 + .45 = 1</PRE>