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 #188006 by checkley77(12844)![]() ![]() ![]() 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( " |