A pump is placed in a pipe system in which the energy equation (i.e., the system curve) is given by            hp = XXXXXXXXXX03Q 2 where hp is the head added by the pump in m and Q is the flow rate...

A pump is placed in a pipe system in which the energy equation (i.e., the system curve) is given by

           hp = 15 + 0.03Q 2

where hp is the head added by the pump in m and Q is the flow rate in the system in L/s. The performance curve of the pump is

                        hp = 20 − 0.08Q 2

What is the flow rate in the system? If the pump was replaced by two identical pumps in parallel, what would be the flow rate in the system? If the pump was replaced by two identical pumps in series, what would be the flow rate in the system?