SOLUTION: Shelly works 4 hours less then william, together they finish the work in 7 hours, how long does it take will to finish the work?

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Question 631976: Shelly works 4 hours less then william, together they finish the work in 7 hours, how long does it take will to finish the work?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = William's time in hours to finish job
= Shelly's time in hours to finish job
---------
Add their rates of working to get their rate
working together

Multiply both sides by



Use quadratic formula










----------



William finishes the work alone in 16.28 hrs
or 16 hrs 17 min
check:




close enough

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