SOLUTION: It takes Bill 2hours longer to do a certain job than it takes Cindy . They worked together for two hours, then Cindy left and bill finished the job in 1hour. How long would it tak

Algebra ->  Rate-of-work-word-problems -> SOLUTION: It takes Bill 2hours longer to do a certain job than it takes Cindy . They worked together for two hours, then Cindy left and bill finished the job in 1hour. How long would it tak      Log On


   

Question 969391: It takes Bill 2hours longer to do a certain job than it takes Cindy . They worked together for two hours, then Cindy left and bill finished the job in 1hour. How long would it take each of them to do the job alone
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
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___________%281%2F%28x%2B2%29%2B1%2Fx%29%2A2
Bill alone_______1/(x+2)_____________1____________%281%2F%28x%2B2%29%29%2A1
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%28%281%2F%28x%2B2%29%2B1%2Fx%29%2A2%2B%281%2F%28x%2B2%29%29%2A1=1%29
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.