document.write( "Question 1157001: Juan can do 2 jobs in 4 days, and Sergio can 4 jobs in 5 days. One hundred seven jobs need to be done. If Juan works for 6 days and then Sergio begins to help, how long will they work together to finish the 107 jobs?
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Algebra.Com's Answer #779784 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Jaun's rate of working is:
\n" ); document.write( " $\"+2%2F4+=+1%2F2+\"$ jobs/days
\n" ); document.write( "In 6 days he can do:
\n" ); document.write( " $\"+%28+1%2F2%29%2A6+=+3+\"$ jobs
\n" ); document.write( "---------------------------
\n" ); document.write( " $\"+107+-+3+=+104+\"$ jobs left to be done
\n" ); document.write( "Let $\"+t+\"$ = time in days to do
\n" ); document.write( " $\"+104+\"$ jobs working together
\n" ); document.write( "Add their rates working together:
\n" ); document.write( " $\"+1%2F2+%2B+4%2F5+=+104%2F+t+\"$
\n" ); document.write( "Multiply both sides by $\"+10t+\"$
\n" ); document.write( " $\"+5t+%2B+8t+=+1040+\"$
\n" ); document.write( " $\"+13t+=+1040+\"$
\n" ); document.write( " $\"+t+=+80+\"$
\n" ); document.write( "It will take them 80 days working together to finish
\n" ); document.write( "------------------------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+1%2F2+%2B+4%2F5+=+104+%2F+t+\"$
\n" ); document.write( " $\"+.5+%2B+.8+=+104%2F80+\"$
\n" ); document.write( " $\"+1.3+=+1.3+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "check my math and get a 2nd opinion if needed
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