document.write( "Question 662477: John can complete a job alone in 2 hours, and it takes Tim 3 hours to do the same job alone, how long would it take them if they work together? \n" ); document.write( "

Algebra.Com's Answer #412291 by josmiceli(19441) $\"\"$ $\"About$

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Add their rates of working
\n" ); document.write( "( 1 job done ) / ( John's time to do it ) + ( 1 job done ) / ( Tim's time to do it )
\n" ); document.write( "= ( i job done ) / ( time with both working )
\n" ); document.write( "Let $\"+t+\"$ = time to do job with both working
\n" ); document.write( " $\"+1%2F2+%2B+1%2F3+=+1%2Ft+\"$
\n" ); document.write( "Multiply both sides by $\"+6t+\"$
\n" ); document.write( " $\"+3t+%2B+2t+=+6+\"$
\n" ); document.write( " $\"+5t+=+6+\"$
\n" ); document.write( " $\"+t+=+6%2F5+\"$
\n" ); document.write( "It will take them 1 + 1/5 hours, or
\n" ); document.write( " $\"+1+%2B+60%2F5+\"$ = 1 hour and 12 minutes working together
\n" ); document.write( " \n" ); document.write( "

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