SOLUTION: Wendy can type 12 pages in 4 hours. How long does it take Anita to type 5 pages if she and wendy can type 28 pages in 8 hours when they work together

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Wendy can type 12 pages in 4 hours. How long does it take Anita to type 5 pages if she and wendy can type 28 pages in 8 hours when they work together       Log On


   

Question 441667: Wendy can type 12 pages in 4 hours. How long does it take Anita to type 5 pages if she and wendy can type 28 pages in 8 hours when they work together
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Wendy can type 12 pages in 4 hours.
How long does it take Anita to type 5 pages if she and Wendy can type 28 pages in 8 hours when they work together
:
Find Wendy's typing rate: 12/4 = 3 pages/hr
Let a = Anita's typing rate
:
Find Anita's typing rate
8a + 8(3) = 28
8a + 24 = 28
8a = 28 - 24
8a = 4
a = 4%2F8
a = .5 pages/hr, Anita's typing rate
:
Find how long to type 5 pages at this rate
t = 5/.5
t = 10 hrs for Anita to type 5 pages