SOLUTION: Rowena can complete typing the report in 8 hours. After she has been working for 2 hours, Florian, who is able to finish this job in 10 hours, is assigned to help her. In how many

Algebra ->  Finance -> SOLUTION: Rowena can complete typing the report in 8 hours. After she has been working for 2 hours, Florian, who is able to finish this job in 10 hours, is assigned to help her. In how many       Log On


   

Question 1011807: Rowena can complete typing the report in 8 hours. After she has been working for 2 hours, Florian, who is able to finish this job in 10 hours, is assigned to help her. In how many hours will Rowena and Florian complete the job if they work together?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
           RATE AS JOB/HOURS
Rowena     1%2F8
Florian    1%2F10
BOTH       1%2F8%2B1%2F10

Let t be the time during which both work together.
Task for Rowena and Florian is to complete 1 job.

RT=J for relating rate, time, amount of job


Two hour for Rowana alone and then unknown t hours for both Rowena and Florian together.
%281%2F8%29%2A2%2B%281%2F8%2B1%2F10%29t=1
Simplify and solve for t.