Two pipes of diameters 50 mm and 100 mm and each 200 m in length are connected parallel between two reservoirs having a water level difference of 12 m. If the two pipes are to be replaced by a single...

Two pipes of diameters 50 mm and 100 mm and each 200 m in length are connected parallel between two reservoirs having a water level difference of 12 m. If the two pipes are to be replaced by a single pipe supplying the same quantity of water, then determine the required diameter. Take f = 0.01 for all pipes and neglect minor losses.