document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1030169>Question 1030169</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 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? <BR>\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! </SPAN>\n" );
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document.write( "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?<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Donald rate:: 2/3 job/days <BR>\n" );
document.write( "Kelly rate:: 4/7 job/day <BR>\n" );
document.write( "Together rate::1/x job/day<BR>\n" );
document.write( "Kelly in 3 days does 3(4/7) = 12/7 jobs<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "rate + rate = together rate<BR>\n" );
document.write( "2/3 + 4/7 = 1/x<BR>\n" );
document.write( "14x + 12x = 21<BR>\n" );
document.write( "26x = 21<BR>\n" );
document.write( "x = 21/26 days/job<BR>\n" );
document.write( "together rate:: 26 job/ 21 day or 1/(21/26) job/day<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Complete 8 jobs if Kelly has completed 12/7 jobs<BR>\n" );
document.write( "x(1/(21/26)) = 8 - (12/7)<BR>\n" );
document.write( "------<BR>\n" );
document.write( "26x/21 = (56-12)/7<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "26x = 3(44)<BR>\n" );
document.write( "x = 5.077 days to finish the 8 houses<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );