How long would it take to fill a tank with 10,000 gallons of water at a rate of 50 gallons per minute?

To determine how long it would take to fill a tank with a capacity of 10,000 gallons at a rate of 50 gallons per minute, you can use the formula that relates total volume to flow rate and time. The formula is:

Time (in minutes) = Total volume (in gallons) / Flow rate (in gallons per minute).

In this case, the total volume is 10,000 gallons and the flow rate is 50 gallons per minute. Plugging in these values:

Time = 10,000 gallons / 50 gallons per minute = 200 minutes.

This calculation correctly shows that it would take 200 minutes to fill the tank at the specified flow rate. Understanding this concept is crucial as it demonstrates how flow rate impacts the time required for filling tasks in water works operations. Calculating the time required accurately ensures efficient planning and execution of water supply management.