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 #188006 by checkley77(12844)\"\" \"About 
You can put this solution on YOUR website!
x=y+1
\n" ); document.write( "xy/(x+y)=1.2
\n" ); document.write( "Substitute (y+1) for x & solve for y
\n" ); document.write( "(y+1)y/(y+1+y)=1.2
\n" ); document.write( "(y^2+y)/(2y+1)=1.2 cross multiply.
\n" ); document.write( "y^2+y=1.2(2y+1)
\n" ); document.write( "y^2+y=2.4y+1.2
\n" ); document.write( "y^2+y-2.4y-1.2=0
\n" ); document.write( "y^2-1.4y-1.2=0
\n" ); document.write( "(y-2)(y+.6)=0
\n" ); document.write( "y-2=0
\n" ); document.write( "y=2 hours for Henry.
\n" ); document.write( "x=2+1=3 hours for George.
\n" ); document.write( "Proof:
\n" ); document.write( "2*3/(2+3)=1.2
\n" ); document.write( "6/5=1.2
\n" ); document.write( "1.2=1.2
\n" ); document.write( "
\n" );