Question

How long will it take in hours and minutes to fill​ TK-330 with​ 36,000 gallons of product if the pump works at 30 ​gpm?

Answer 1

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.

`P=r\cdot t`, where,

P = Portion of job completed,

r = Rate,

t = Time

`P=36,000` gallons,
`r=30` gallons per minute.

`36,000\text{ gallons}=\frac{30\text{ Gallons}}{\text{1 minute}}\cdot t`

`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`

`36,000\cdot\frac{\text{1 minute}}{30}=t`

`1200\text{ minutes}=t`

Therefore, it will take 1200 minutes to fill the tank.

Let us convert 1200 minutes into hours.

1 hour = 60 minutes.

`1200\text{ minutes}=(1200)/(60)\text{ hours}=20\text{ hours}`

Therefore, it will take 20 hours to fill the tank.