SOLUTION: working alone, Carrie can paint a house in three hours less than water. Together Carrie and Walter can paint to house in eight hours. How long does it take Walter to paint a hous

Question 1031853: working alone, Carrie can paint a house in three hours less than water. Together Carrie and Walter can paint to house in eight hours. How long does it take Walter to paint a house alone?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Walter's time in hrs to paint
a house working alone
= Carrie's time in hrs to paint
a house working alone
-----------------------------------
Walter's rate of painting working alone:
[ 1 house painted ] / [ t hrs ]
Carrie's rate of painting working alone:
[ 1 house painted ] / [ t - 3 hrs ]
Their rate painting together:
[ 1 house painted ] / [ 8 hrs ]
--------------------------------
Add their rates of painting to get their
rate painting together

Multiply both sides by

Use quadratic formula

and

------------------
Walter can paint a house alone in 17.64
------------------
check:

OK
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