We are asked to find the time it will take to fill TK-330 with 36,000 gallons of product if the pump works at 30 gpm.
We will use rate problem to solve our given problem.
[tex]P=r\cdot t[/tex], where,
P = Portion of job completed,
r = Rate,
t = Time
[tex]P=36,000[/tex] gallons, [tex]r=30[/tex] gallons per minute.
[tex]36,000\text{ gallons}=\frac{30\text{ Gallons}}{\text{1 minute}}\cdot t[/tex]
[tex]36,000\text{ gallons}\cdot\frac{\text{1 minute}}{30\text{ Gallons}}=\frac{30\text{ Gallons}}{\text{1 minute}}\cdot\frac{\text{1 minute}}{30\text{ Gallons}}\cdot t[/tex]
[tex]36,000\cdot\frac{\text{1 minute}}{30}=t[/tex]
[tex]1200\text{ minutes}=t[/tex]
Therefore, it will take 1200 minutes to fill the tank.
Let us convert 1200 minutes into hours.
1 hour = 60 minutes.
[tex]1200\text{ minutes}=\frac{1200}{60}\text{ hours}=20\text{ hours}[/tex]
Therefore, it will take 20 hours to fill the tank.
