document.write( "Question 1030169: Uncle Donald could do 2 jobs in 3 days and Cousin Kelly could do 4 jobs in 7 days. Cousin Kelly worked alone for 3 days before Uncle Donald joined in. How long would they have to work together to complete a total of 8 jobs?
\n" ); document.write( "---I have an idea of what must be done to solve this problem, but I need clarification. An explanation would be amazing. Thanks! \n" ); document.write( "

Algebra.Com's Answer #645072 by ptaylor(2198) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let x=amount of time it takes working together for them to complete a total of 8 jobs
\n" ); document.write( "Uncle Donald works at the rate of 2/3 of the job per day
\n" ); document.write( "Cousin Kelly works at the rate of 4/7 of the job per day
\n" ); document.write( "In three days, Cousin Kelly did (4/7)*3=12/7 of the jobs, leaving (8=56/7)
\n" ); document.write( "(56/7 - 12/7)=44/7 of the jobs yet to be completed\r
\n" ); document.write( "\n" ); document.write( "Working together, they work at the rate of (2/3)+(4/7)=(14/21)+(12/21)=26/21 of the jobs per day
\n" ); document.write( "Soooooo our equation to solve is:
\n" ); document.write( "(26/21)*x=44/7 multiply each side by 21 to get rid of fractions
\n" ); document.write( "26x=132
\n" ); document.write( "x=5.08 days\r
\n" ); document.write( "\n" ); document.write( "hope this helps----ptaylor \n" ); document.write( "

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