document.write( "Question 1029143: Joe can mow the eighteenth fairway in 4 hours. Bob can do it in 3 hours. Joe, Bob, and Tom working together can do it in an hour and twenty minutes. How long would it take Tom to do the job working alone? \n" ); document.write( "

Algebra.Com's Answer #644194 by josmiceli(19441) $\"\"$ $\"About$

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Add their rates of mowing to
\n" ); document.write( "get rate mowing together
\n" ); document.write( "Joe's rate:
\n" ); document.write( "[ 1 job / 8 hrs ]
\n" ); document.write( "Bob's rate:
\n" ); document.write( "[ 1 job / 3 hrs ]
\n" ); document.write( "Let $\"+t+\"$ = Tom's rate for the job
\n" ); document.write( "---------------
\n" ); document.write( " $\"+1%2F8+%2B+1%2F4+%2B+1%2Ft+=+1%2F%28%28+4%2F3%29%29+\"$
\n" ); document.write( " $\"+1%2F8+%2B+1%2F4+%2B+1%2Ft+=+3%2F4+\"$
\n" ); document.write( "( $\"+4%2F3+\"$ hrs = 1 hr 20 min )
\n" ); document.write( "Multiply both sides by $\"+8t+\"$
\n" ); document.write( " $\"+t+%2B+2t+%2B+8+=+6t+\"$
\n" ); document.write( " $\"+3t+=+8+\"$
\n" ); document.write( " $\"+t+=+2+%2B+2%2F3+\"$
\n" ); document.write( "Tom takes 2 hrs 40 min working alone
\n" ); document.write( "-------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+1%2F8+%2B+1%2F4+%2B+1%2Ft+=+3%2F4+\"$
\n" ); document.write( " $\"+1%2F8+%2B+1%2F4+%2B+1%2F%28%288%2F3%29%29+=+1%2F%28%284%2F3%29%29+\"$
\n" ); document.write( " $\"+.125+%2B+.25+%2B+.375+=+.75+\"$
\n" ); document.write( " $\"+.75+=+.75+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );