A fire nozzle is supplied through \(300 \mathrm{ft}\) of 3-in.-diameter canvas hose with \(e=0.001 \mathrm{ft}\). Water from a hydrant is supplied at \(50 \mathrm{psig}\) to a booster pump on board the pumper truck. At design operating conditions, the pressure at the nozzle inlet is \(100 \mathrm{psig}\) and the pressure drop along the hose is \(33 \mathrm{psi}\) per \(100 \mathrm{ft}\) of length. Calculate the design flow rate and the maximum nozzle exit speed. Select a pump appropriate for this application, determine its efficiency at this operating condition, and calculate the power required to drive the pump.