SOLUTION: A and B working together can do a job in 6 2/3 hours. A became ill after 3 hours of working with B. B finished the job, continuing to work alone, in 8 1/4 more hours. How long woul

Question 507802: A and B working together can do a job in 6 2/3 hours. A became ill after 3 hours of working with B. B finished the job, continuing to work alone, in 8 1/4 more hours. How long would it take each working alone to do the job?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = A's rate of working
Let = B's rate of working
given:

What fraction of the job did A and B together
get done in hrs?

That leaves
of the job left
Now B working alone completes
of the job in hrs

and, since

B's rate alone is 1 job in 15 hours
A's rate alone is 1 job in 12 hours
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