SOLUTION: A B and C can finish a job in 6 days. If B and C work together the job will take 9 days. If A and C work together the job will take 8 days. In how many days can each man working al

Question 197922: A B and C can finish a job in 6 days. If B and C work together the job will take 9 days. If A and C work together the job will take 8 days. In how many days can each man working alone do the job?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
I will say the following:
A's rate of working is (1 job)/(a days)
B's rate of working is (1 job)/{b days)
C's rate of working is (1 job)/(c days)
---------------------------------------
I can add their rates of working to get a
rate at which they work together
(1)
(2)
(3)
-------------------------
From (2)

From (3)

Substitute these into (1)
(1)

Multiply both sides by

From (2)
(2)

From (3)
(3)

A can do the job in 18 days
B can do the job in 24 days
C can do the job in 14.4 days
check answer:
(1)

Multiply both sides by

OK
(2)

Multiply both sides by

OK
(3)

Multiply both sides by

OK
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