Afire nozzle is supplied through 300 ft of 1.5 in. diameter, smooth, rubber-lined hose. water from a hydrant is supplied to a booster pump on board the pumper truck at 50 psig. at design conditions, the pressure at the nozzle inlet is 100 psig, and the pressure drop along the hose is 33 psi per 100 ft of length. determine (a) the design flow rate, (b) the nozzle exit velocity, assuming no losses in the nozzle, and (c) the power required to drive the booster pump, if its efficiency is 70 percent