document.write( "Question 425168: Working with your cousin, you can refinish a table in 3 hours. Working alone, your cousin can complete the job in 4 hours. How long would it take you to complete the job? \n" ); document.write( "

Algebra.Com's Answer #296150 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"t\"$ = my time to do job alone in hours
\n" ); document.write( "In words:
\n" ); document.write( "(1 table)/(4 hrs) + (1 table)/(t hrs) = (1 table)/(3 hrs)
\n" ); document.write( " $\"+1%2F4+%2B+1%2Ft+=+1%2F3+\"$
\n" ); document.write( "Multiply both sides by $\"12t\"$
\n" ); document.write( " $\"+3t+%2B+12+=+4t+\"$
\n" ); document.write( " $\"+t+=+12+\"$
\n" ); document.write( "I take 12 hrs to complete job working alone
\n" ); document.write( "check answer:
\n" ); document.write( " $\"+1%2F4+%2B+1%2Ft+=+1%2F3+\"$
\n" ); document.write( " $\"+1%2F4+%2B+1%2F12+=+1%2F3+\"$
\n" ); document.write( " $\"+3%2F12+%2B+1%2F12+=+4%2F12\"$
\n" ); document.write( " $\"4%2F12+=+4%2F12\"$
\n" ); document.write( "OK \n" ); document.write( "

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