SOLUTION: Genelle and Eljen can paint a room together in 4 hours. Working alone, Genelle can paint the room in two hours less than Eljen can. Find how long it takes Eljen to paint the room a

Question 241499: Genelle and Eljen can paint a room together in 4 hours. Working alone, Genelle can paint the room in two hours less than Eljen can. Find how long it takes Eljen to paint the room alone.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
g=e-2
g*e/(g+e)=4
(e-2)e/(e-2+e)=4
e^2-2e/(2e-2)=4 cross multiply.
e^2-2e=4(2e-2)
e^2-2e=8e-8
e^2-2e-8e+8=0
e^2-10e+8=0

e=(10+-sqrt[-10^2-4*1*8])/2*1
e=(10+-sqt100-32)/2
e=(10+-sqrt68)/2
e=(10+-8.246/2
e=(10+8.246)/2
e=18.246/2
e=9.123 ans.
g=9.123-2=7.123 ans.
Proof:
9.123*7.123/(9.123+7.123)=4
64.983/16.246=4
4~4
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