document.write( "Question 165332: Peter mows a lawn in 40 minutes. John moes the lawn in 60 minutes. How long will it take them to mow the lawn together? \n" ); document.write( "
Algebra.Com's Answer #121882 by ptaylor(2198)\"\" \"About 
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Peter mows a lawn in 40 minutes. John moes the lawn in 60 minutes. How long will it take them to mow the lawn together?\r
\n" ); document.write( "\n" ); document.write( "Let x=amount of time it takes both working together to mow the lawn
\n" ); document.write( "Together, they work at the rate of 1/x lawn per hour
\n" ); document.write( "Peter works at the rate of 40/60=2/3 lawn per hour
\n" ); document.write( "John works at the rate of 1 lawn per hour\r
\n" ); document.write( "\n" ); document.write( "Together, they work at the rate of 2/3 + 1=1 2/3 =5/3 lawns per hour
\n" ); document.write( "So, our equation to solve is:
\n" ); document.write( "(5/3)*x=1 (1 lawn, that is) multiply each term by 3
\n" ); document.write( "5x=3 divide both sides by 5
\n" ); document.write( "x=3/5 hour=36 min\r
\n" ); document.write( "\n" ); document.write( "Another way:\r
\n" ); document.write( "\n" ); document.write( "2/3 +1=1/x
\n" ); document.write( "5/3=1/x multiply each term by 3x
\n" ); document.write( "5x=3
\n" ); document.write( "x=3/5\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "Peter:
\n" ); document.write( "(2/3)*(3/5)=2/5 lawn
\n" ); document.write( "John:
\n" ); document.write( "1*(3/5)=3/5 lawn
\n" ); document.write( "2/5 + 3/5=1
\n" ); document.write( "1=1\r
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor
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