We want to find how long will take for 9 garden hoses to fill the pool given that we know how long 8 of them need.
9 garden hoses will fill the pool in 16 hours.
Now, let's see how to solve the problem.
We know that for 8 gardener hoses, the pool is filled in 18 hours.
So, if every gardener hoses fill the pool at a rate R, we have the equation:
(8*R)*18 hours = 1 pool.
We can solve this for R:
R = (1 pool)/(8*18 hours).
Now, if we have 9 gardener hoses, we will have:
(9*R)*T = 1 pool.
Now we want to find the value of T.
We start by replacing the value of R that we found.
(9*(1 pool)/(8*18 hours))*T = 1 pool.
(1 pool/16 hours)*T = 1 pool.
T = (1 pool)/(1 pool/16 hours) = 16 hours.
Then we can conclude that 9 garden hoses will fill the pool in 16 hours.
If you want to learn more, you can read:
https://brainly.com/question/14305692
