SOLUTION: Word problem. It takes 60 minutes to fill a pond with water alone. It takes 80 minutes to drain a pond of water alone. How long will it take to fill the pond while it is bei

Algebra ->  Expressions-with-variables -> SOLUTION: Word problem. It takes 60 minutes to fill a pond with water alone. It takes 80 minutes to drain a pond of water alone. How long will it take to fill the pond while it is bei      Log On


   



Question 436132: Word problem.
It takes 60 minutes to fill a pond with water alone.
It takes 80 minutes to drain a pond of water alone.
How long will it take to fill the pond while it is being drained at the same time?

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
consider filling or emptying the pool as 1 job.
emptying the pool = 80 minutes
so 1/80 of the job is done in 1 minute
...
Filling time = 60 minutes
1/60 of the job in 1 minute
..
difference = 1/60 -1/80
(80-60)/80*60
20/2400
1/120 of the job is done in 1 minute when both are on.
so it will take 120 minutes to fill the pool.