Answer:
The pump fill the pool in 3/5 hours
Step-by-step explanation:
From noon to 1/4 hours later, the pool goes from 1/3 to 3/4 full. That's means that the pool fill X quantity in 1/4 hours, where X is calculate as:
[tex]X=\frac{3}{4} -\frac{1}{3}=\frac{5}{12}[/tex]
So, the constant rate R can be calculated as:
[tex]R=\frac{5/12 full }{1/4 hours} =5/3 [/tex]
That means that every hour the pool can be fill 5/3 full, so if we want to know how many hours is needed to fill the poll one time, we can write the following equation:
[tex]\frac{5 full}{ 3 hours} *t = 1 full[/tex]
Where t is the time required to fill the pool. Solving for t we get:
t = 3/5 hours
so, the pump fill the pool in 3/5 hours or 36 minutes with a constant rate of 5/3.
