SOLUTION: Good afternoon ma'am or sir Will you please help me in solving this problem: 1). Using pipe A, a pool, can be filled with water in 6 hours. Pipe bcan drain the pool in 12 hours. I

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Question 116939: Good afternoon ma'am or sir Will you please help me in solving this problem:
1). Using pipe A, a pool, can be filled with water in 6 hours. Pipe bcan drain the pool in 12 hours. If both pipes were accidentally left open, how long would it take to fill the pool?
Thank you ma'am or sir for your generosity in solving my problem.
Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
This is a form of work problem- like when you know how long
it takes for person a to do a job and person b to do a job,
how long does it take when they work together?
For this problem,
(pipe A's rate of filling pool)+(pipe B's rate of filling pool)
= (rate of A and B together filling pool)
in other words,
(1 pool/6 hrs) + (1 pool/12 hrs) = (1 pool/x hrs)

multiply both sides by

hrs answer
It takes 4 hrs to fill the pool when both pipes are left open
check answer

OK