Question 969391
x, amount of time for Cindy to do 1 job


________________rate_________________time__________jobs
Bill____________1/(x+2)______________x+2____________1
Cindy___________1/x___________________x_____________1
-____________________________________________________
_____________________________________________________
Bill&Cindy______1/(x+2)+1/x__________2___________{{{(1/(x+2)+1/x)*2}}}
Bill alone_______1/(x+2)_____________1____________{{{(1/(x+2))*1}}}
Total______________________________________________1



The data table is made in two sections.  The top is just rate information about Bill and Cindy.  The bottom is for the combination of Bill and Cindy doing the one job.


The total of the 1 job is composed of the parts of both Bill and Cindy together and then Bill alone.


{{{highlight((1/(x+2)+1/x)*2+(1/(x+2))*1=1)}}}
Solve for x, and the rate for Bill can be found, as well as that of Cindy.  The unit of rate is JOB per HOUR.