document.write( "Question 961502: Mudog can do 8 jobs in 3 days, and jimmy can do 5 jobs in 2 days. Thirty nine jobs need to be done. Mudog works 3 days and then jimmy joins in. How many days will both of them have to work together to complete the 39 jobs? \n" ); document.write( "

Algebra.Com's Answer #587521 by josmiceli(19441) $\"\"$ $\"About$

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Mudog's rate of working is:
\n" ); document.write( " $\"+8%2F3+\"$ jobs / days
\n" ); document.write( "Jimmy's rate of working is:
\n" ); document.write( " $\"+5%2F2+\"$ jobs/days
\n" ); document.write( "-----------------------
\n" ); document.write( "Let $\"+x+\"$ = the number of jobs
\n" ); document.write( "Mudog gets done in $\"+3+\"$ days
\n" ); document.write( " $\"+x+=+%28+8%2F3+%29%2A3+\"$
\n" ); document.write( " $\"+x+=+8+\"$
\n" ); document.write( "There are $\"+31+\"$ jobs left to do
\n" ); document.write( "---------------
\n" ); document.write( "With both working together:
\n" ); document.write( " $\"+8%2F3+%2B+5%2F2+=+31%2Ft+\"$
\n" ); document.write( "Multiply both sides by $\"+6t+\"$
\n" ); document.write( " $\"+16t+%2B+15t+=+186+\"$
\n" ); document.write( " $\"+31t+=+186+\"$
\n" ); document.write( " $\"+t+=+6+\"$
\n" ); document.write( "They would have to work together for
\n" ); document.write( "6 more days to complete all the 39 jobs\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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