water is pumped at a rate of 3 ft3/s from a reservoir 20 ft above a pump to a free discharge 90 ft above the pump. the pressure on the intake side of the pump is 5 psig and the pressure on the discharge side is 50 psig. all pipes are commercial steel of 6 in. diameter. determine the head supplied by the pump and the total head loss between the pump and point of free discharge.