5) Water is pumped from a river to two reservoirs A and B. The water surface in reservoir A is at the same height as the river whilst that in reservoir B is 20 ft. higher. Pumping from the river takes place by means of a centrifugal pump, the equation relating flow Q (in ft³/sec.) and H (ft) at a constant speed being given by H= 75-10Q² From the river to a junction J is a common pipe is used of 8 in. diameter and 500 ft. long. The branch J to the reservoir A is 5 in. in diameter and 200 ft. long. The branch from J to reservoir B is 6 in. in diameter and 200 ft. long. Neglecting all losses other than pipe friction, calculate the discharge to A and B Take f as 0.028 throughout. Solution RIVER H = 75-100* P 8in. D. 500ft. 6in. D. 200ft. 5in. D. 200ft. 20 ft.