SOLUTION: one maid can clean the house three times faster than another. Working together they can clean the entire house in 3 hours. How long would it take the faster maid cleaning alone?

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Question 46028: one maid can clean the house three times faster than another. Working together they can clean the entire house in 3 hours. How long would it take the faster maid cleaning alone?
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
One maid = 3x
Another maid = x
EQUATION:
1%2Fx%2B1%2F3x=1%2F3
%283x%29%2B%28x%29=%28x%29%283x%29%2F%283%29
4x=3x%5E2%2F3
12x=3x%5E2
x%5E2-4x=0
x=4
4(3)=12
Hence, ot would take her 12 hours to clean the house alone.
Paul.