The pump in the figure lifts 30 L/s of water from the open sump to the open overhead tank (the delivery pipe ends below the tank water level). The levels and the suction and delivery pipe lengths and diameters are marked on the figure. Take the Darcy friction factor f = 0.02 for both pipes (h_{f} = fLV^{2}/2gD), neglect minor losses and the exit velocity head, and take the overall efficiency of the pump set as 72 %. Determine (a) the total friction head loss in the suction and delivery pipes (answer in m), (b) the total head against which the pump works (answer in m) and (c) the power input to the pump set (answer in kW).