SOLUTION: Zeno takes 3hrs longer to piant a floor than it takes lia. When they work together, it takes them 2hrs. how long would each to get the job done?

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Question 661572: Zeno takes 3hrs longer to piant a floor than it takes lia. When they work together, it takes them 2hrs. how long would each to get the job done?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = the time in hrs it
takes Lia to paint the floor
= time it takes Zeno
------------------
Add their rates of working to get their
rate working together
( 1 floor painted / Zeno's time ) + ( 1 floor painted ) / ( Lia's time )
= ( 1 floor painted ) / ( time for both painting together )

Multiply both sides by



I can see that this is


( can't be because you can't have negative time )
and

Lia takes 3 hrs to paint the floor
Zeno takes 6 hrs to paint the floor
check answer:




OK

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