document.write( "Question 596408: a push mower can mow a large area for 6 hours where as a mower with a riding mower van mow for 5 hours, working together how long will it take to mow the lawn \n" ); document.write( "

Algebra.Com's Answer #377715 by josmiceli(19441) $\"\"$ $\"About$

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Add their rates of mowing to get their
\n" ); document.write( "rate working together
\n" ); document.write( "Rate of push mower: ( 1 area ) / ( 6 hrs )
\n" ); document.write( "Rate of riding mower: ( 1 area ) / ( 5 hrs )
\n" ); document.write( "Let $\"+t+\"$ = time in hrs to mow 1 area working together
\n" ); document.write( "Rate working together: ( 1 area ) / ( t hrs )
\n" ); document.write( "-------------------------
\n" ); document.write( " $\"+1%2F6+%2B+1%2F5+=+1%2Ft+\"$
\n" ); document.write( "Multiply both sides by $\"+6%2A5%2At+\"$
\n" ); document.write( " $\"+5t+%2B+6t+=+5%2A6+\"$
\n" ); document.write( " $\"+11t+=+30+\"$
\n" ); document.write( " $\"+t+=+2.73+\"$
\n" ); document.write( "It will take 2.73 hrs
\n" ); document.write( "This is about 2 hrs and 44 min ( .73*60 = 44 ) \n" ); document.write( "

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