the system on site is a pressure sand filter with

Question

The system on site is a pressure sand filter, with a service curve. The filter is backwashed using the feed pump, at a higher flow rate, shown as backwash curve.  

Service duty point : 3 m³/h 

Backwash duty point : 9 m³/h  

Part (a) What is the speed of the pump to achieve the service and backwash flow rates ?  

Part (b) What would be the best way to control the speed of the pump ? Why ?  

Part (C) The pump is set up as a fixed speed constant pressure system (pump runs once system pressure reaches 550 kPa, turns off, when pressure drops to 450 kPa plant re-starts) to maintain a system pressure of 500 kPa at the discharge of the pump. What would be the service and backwash rates from the pump