How long must a one-cylinder reciprocating sludge pump operate to pump 5,000 gallons when producing 84.5 gpm?

To determine how long a one-cylinder reciprocating sludge pump must operate to pump a specific volume, you can use the formula for flow rate and time. The flow rate is given in gallons per minute (gpm), and the total volume to be pumped is specified in gallons.

In this case, the pump is producing 84.5 gallons per minute. To find the time required to pump 5,000 gallons, you can divide the total volume by the flow rate.

Using the formula:

Time (in minutes) = Total Volume (in gallons) / Flow Rate (in gpm)

Substituting the values:

Time = 5,000 gallons / 84.5 gpm

Calculating this gives approximately 59.3 minutes, which rounds to 60 minutes.

Thus, 60 minutes is the correct amount of time necessary for the pump to operate in order to achieve the required pumping of 5,000 gallons at the specified flow rate.