document.write( "Question 457478: Together, Bob and Tom take 4 hours to get the yard work done. If Bob works alone, it takes him 6 hours. How long would it take Tom, working alone, to do all of the yard work? \n" ); document.write( "

Algebra.Com's Answer #313906 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"t\"$ = number of hrs Tom takes to do it
\n" ); document.write( "Add their rates of working
\n" ); document.write( "( 1 yard ) / ( 6 hrs ) + ( 1 yard ) / ( t hrs ) = ( 1 yard ) / (4 hrs )
\n" ); document.write( " $\"+1%2F6+%2B+1%2Ft+=+1%2F4+\"$
\n" ); document.write( "Multiply both sides by $\"+12t+\"$
\n" ); document.write( " $\"+2t+%2B+12+=+3t+%7D%7D%7B%7D%0D%0A%7B%7B%7B+t+=+12+\"$
\n" ); document.write( "It takes Tom 12 hrs working alone \n" ); document.write( "

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