document.write( "Question 255743: It takes George 1 hour longer to mow the lawn than it takes Henry. Working together, using two mowers, they can mow the lawn in 1 hour and 12 minutes. How long would it take Henry to mow the lawn by himself? \r
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Algebra.Com's Answer #188034 by CharlesG2(834)![]() ![]() ![]() You can put this solution on YOUR website! It takes George 1 hour longer to mow the lawn than it takes Henry. Working together, using two mowers, they can mow the lawn in 1 hour and 12 minutes. How long would it take Henry to mow the lawn by himself? \r \n" ); document.write( "\n" ); document.write( "Thank you!!!\r \n" ); document.write( "\n" ); document.write( "G=time George in hours for one lawn, H=time Henry in hours for one lawn\r \n" ); document.write( "\n" ); document.write( "after 1.2 hours George 1.2/G \n" ); document.write( " Henry 1.2/H\r \n" ); document.write( "\n" ); document.write( "1.2/G + 1.2/H = 1 \n" ); document.write( "G=1+H\r \n" ); document.write( "\n" ); document.write( "1.2+(1.2G)/H = G \n" ); document.write( "1.2H+1.2G=GH \n" ); document.write( "1.2H+1.2(1+H)=(1+H)H \n" ); document.write( "1.2H+1.2+1.2H=H+H^2 \n" ); document.write( "2.4H+1.2=H+H^2 \n" ); document.write( "1.4H+1.2=H^2 \n" ); document.write( "-H^2+1.4H+1.2=0 \n" ); document.write( "H^2-1.4H-1.2=0\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "(h-2)(h+0.6)=0\r \n" ); document.write( "\n" ); document.write( "so Henry can do it in 2 hours \n" ); document.write( "and George in 3 hours\r \n" ); document.write( "\n" ); document.write( "1.2/G + 1.2/H = 1 \n" ); document.write( "1.2/3 + 1.2/2 = 1 \n" ); document.write( "0.4 + 0.6 = 1 \n" ); document.write( "1=1\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |