Question

18 numeric 1 point a 2,100 - gallon fish pond has a circulation drain at the bottom that drains at a rate of 20 gallons per hour. a pump adds water to the pond at a rate of 55 gallons per hour. if the pond starts out empty, how many hours will it take the pump to completely fill it? answer

Explanation:

Step1: Determine net inflow rate

The pump adds 55 gallons per hour and the drain removes 20 gallons per hour. So the net rate of filling is \( 55 - 20 = 35 \) gallons per hour.

Step2: Calculate time to fill

The pond has a capacity of 2100 gallons. Time \( t \) is given by the formula \( t=\frac{\text{Total Volume}}{\text{Net Rate}} \). Substituting the values, we get \( t = \frac{2100}{35} \).

Step3: Solve for t

\( \frac{2100}{35}=60 \).

Answer:

60