document.write( "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. \n" ); document.write( "

Algebra.Com's Answer #176937 by checkley77(12844) $\"\"$ $\"About$

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g=e-2
\n" ); document.write( "g*e/(g+e)=4
\n" ); document.write( "(e-2)e/(e-2+e)=4
\n" ); document.write( "e^2-2e/(2e-2)=4 cross multiply.
\n" ); document.write( "e^2-2e=4(2e-2)
\n" ); document.write( "e^2-2e=8e-8
\n" ); document.write( "e^2-2e-8e+8=0
\n" ); document.write( "e^2-10e+8=0
\n" ); document.write( " $\"e+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "e=(10+-sqrt[-10^2-4*1*8])/2*1
\n" ); document.write( "e=(10+-sqt100-32)/2
\n" ); document.write( "e=(10+-sqrt68)/2
\n" ); document.write( "e=(10+-8.246/2
\n" ); document.write( "e=(10+8.246)/2
\n" ); document.write( "e=18.246/2
\n" ); document.write( "e=9.123 ans.
\n" ); document.write( "g=9.123-2=7.123 ans.
\n" ); document.write( "Proof:
\n" ); document.write( "9.123*7.123/(9.123+7.123)=4
\n" ); document.write( "64.983/16.246=4
\n" ); document.write( "4~4 \n" ); document.write( "

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