document.write( "Question 127987: 1) Working alone, Coleen can paint a house in 2hr less than James. Working together, they can paint the house in 10hr. How long would it take James to paint the house? \n" ); document.write( "
Algebra.Com's Answer #93788 by checkley71(8403)\"\" \"About 
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J(J-2)/[J+(J-2)]=10
\n" ); document.write( "(J^2-2J)/(2J-2)=10 NOW CROSS MULTIPLY
\n" ); document.write( "J^2-2J=10(2J-2)
\n" ); document.write( "J^2-2J=20J-20
\n" ); document.write( "J^2-2J-20J+20=0
\n" ); document.write( "J^2-22J+20
\n" ); document.write( "USING THE QUADRATIC EQUATION:\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\" WE GET:
\n" ); document.write( "J=(22+-SQRT[-22^2-4*1*20])/2*1
\n" ); document.write( "J=(22+-SQRT[484-80])/2
\n" ); document.write( "J=(22+-SQRT404)/2
\n" ); document.write( "J=(22+-20.1)/2
\n" ); document.write( "J=(22+20.1)/2
\n" ); document.write( "J=42.01/2
\n" ); document.write( "J=21.05 HOURS - TIME FOR JAMES TO PAINT THE HOUSE ALONE.
\n" ); document.write( "PROOF:
\n" ); document.write( "21.05*19.05/(21.05+19.05)=10
\n" ); document.write( "401/40.1=10
\n" ); document.write( "10=10
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