The difference in water surface levels in two tanks, which are connected by three pipes in series of lengths $300m,170m$ and $210m$ and of diameters $300mm,200mm$ and $400mm$ respectively, is $12m.$ Determine the rate of flow of water if co$-$efficient of friction are $0\mathrm{.}005,0\mathrm{.}0052,$ and $0\mathrm{.}0048$ respectively, considering $($i$)$