Question

1. a water tank has a capacity of 6mg. it is currently half full. it will take 6 hours to fill. what is the flow rate of the pump?

a. 3,333 gpm
b. 6,333 gpm
c. 8,333 gpm
d. 16,666 gpm

1. a clear well with the capacity of 2.5 mg is being filled after a maintenance period. the flow rate is 2,500 gpm. the operator begins filling at 7 am. at what time will the clear well be full?

a. 10:00 pm
b. 10:40 pm
c. 11:00 pm
d. 11:40 pm

Explanation:

Step1: Calculate volume to fill (Q1)

The tank is half full, so volume to fill is $\frac{6\ \text{MG}}{2} = 3\ \text{MG}$.
Convert MG to gallons: $3\ \text{MG} = 3 \times 1,000,000 = 3,000,000\ \text{gallons}$
Convert time to minutes: $6\ \text{hours} = 6 \times 60 = 360\ \text{minutes}$

Step2: Find pump flow rate (Q1)

Flow rate = $\frac{\text{Volume}}{\text{Time}} = \frac{3,000,000}{360} \approx 8,333\ \text{GPM}$

Step3: Calculate fill time (Q2)

Convert capacity to gallons: $2.5\ \text{MG} = 2.5 \times 1,000,000 = 2,500,000\ \text{gallons}$
Fill time = $\frac{2,500,000}{2,500} = 1000\ \text{minutes}$
Convert minutes to hours: $\frac{1000}{60} = 16\frac{2}{3}\ \text{hours} = 16\ \text{hours}\ 40\ \text{minutes}$

Step4: Find end time (Q2)

Start time: 7 AM + 16 hours 40 minutes = 11:40 PM

Answer:

1. c. 8,333 GPM
2. d. 11:40 PM