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
\n" ); document.write( "\n" ); document.write( "Thank you!!!
\n" ); document.write( "

Algebra.Com's Answer #188034 by CharlesG2(834)\"\" \"About 
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( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "
\n" ); document.write( "\"x+=+%281.4+%2B-+sqrt%28+1.96-4%2A%28-1.2%29+%29%29%2F2+\"
\n" ); document.write( "\"x+=+%281.4+%2B-+sqrt%28+1.96%2B4.8+%29%29%2F2+\"
\n" ); document.write( "\"x+=+%281.4+%2B-+sqrt%28+1.96%2B4.8+%29%29%2F2+\"
\n" ); document.write( "\"x+=+%281.4+%2B-+sqrt%28+1.96%2B4.8+%29%29%2F2+\"
\n" ); document.write( "\"x+=+%281.4+%2B-+sqrt%28+6.76+%29%29%2F2+\"
\n" ); document.write( "\"x+=+%281.4+%2B-+sqrt%28+6.76+%29%29%2F2+\"
\n" ); document.write( "\"x+=+%281.4+%2B-+2.6%29%2F2+\"
\n" ); document.write( "\"x+=+%281.4+%2B+2.6%29%2F2+\"
\n" ); document.write( "\"x+=+4%2F2+\"
\n" ); document.write( "\"x+=+2+\"
\n" ); document.write( "\"x+=+%281.4+-+2.6%29%2F2+\"
\n" ); document.write( "\"x+=+-1.2%2F2+\"
\n" ); document.write( "\"x+=+-0.6+\"
\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( "
\n" );