SOLUTION: it takes shawn 9 more hour to paint a house than michelle. together it takes them 10.8 hours to complete work. How long would it take Shawn to paint the house by himself.

Question 945590: it takes shawn 9 more hour to paint a house than michelle. together it takes them 10.8 hours to complete work. How long would it take Shawn to paint the house by himself.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Michelle's time to paint a house in hours
= Shawn's time to paint a house in hours
-----------------
( 1 house ) / ( t hours ) = Michelle's rate of painting
( 1 house ) / ( t + 9 hours ) = Shawn's rate of painting
( 1 house ) / ( 10.8 hours ) = their rate painting together
---------------------------
Add their rates of painting to get their rate painting together

Multiply both sides by

--------------------------
Use the quadratic formula

( can't use the negative square root )

Shawn takes 27 hrs to paint the house by himself
---------------
check:

Divide both sides by

Multiply both sides by

OK

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