SOLUTION: It takes Shawn 6 more hours to stain a deck than Michelle. Together it takes them 1.6 hours to complete the work. How long does Shawn take to stain the deck by himself?

Question 676202: It takes Shawn 6 more hours to stain a deck than Michelle. Together it takes them 1.6 hours to complete the work. How long does Shawn take to stain the deck by himself?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Michelle's time in hrs to stain deck
= Shawn's time in hrs to stain deck
Add their rates of working to get rate working together
( 1 deck stained ) / ( Shawn's time ) + ( 1 deck stained ) / ( Michelle's time ) = rate working together

Multiply both sides by

Use quadratic formula

( ignore the negative square root )

= Shawn's time, so

Shawn takes 10 hrs to stain deck by himself

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