SOLUTION: Pipe A can fill in 20 minutes and Pipe B in 30 mins and Pipe C can empty the same in 40 mins.If all of them work together, find the time taken to fill the tank

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Question 489598: Pipe A can fill in 20 minutes and Pipe B in 30 mins
and Pipe C can
empty the same in 40 mins.If all of them work
together, find the time
taken to fill the tank
Answer by mananth(12270) About Me  (Show Source):
You can put this solution on YOUR website!
Emptying the pool is one job 1 job
Pipe I 20 minutes
She does 1/20 job in 1 hour
Pipe II 30 minutes 1/12
He does 1/30 of thejob in 1 hour
Pipe III 40 minutes
It does 1/40 of the job in 1 hour

Together they will do 1/20 + 1/30 + 1/40
Together they will do 9/83 of the job in one minute 0.11
So they will take 9 2/9 minutes
So they will take 9.23 minutes