<PRE><B>Question 610989</B>
Matt and Elaine, together, can paint a room in 3h.
 It would take Matt 5h to paint the room alone, how Long would it take elain to paint the room alone?
:
let x = time required by Elaine to do the job alone
Let the completed job = 1
:
A typical shared work equation
:
{{{3/5}}} + {{{3/x}}} = 1
multiply by 5x
5x*{{{3/5}}} + 5x*{{{3/x}}} = 5x
cancel the denominators
3x + 5(3) = 5x
15 = 5x - 3x
x = 15/2
x = 7.5 hrs Elaine alone
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