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)![]() ![]() ![]() You can put this solution on YOUR website! 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: \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 \n" ); document.write( " \n" ); document.write( " |