Problem $4($Hardy Cross, friction factor form$)$

For the following system calculate the flow rates through the pipelines. A

device with a head loss of $50Q^2$ is placed in line $1.$ The absolute pipe

roughness is $0\mathrm{.}00015ft,$ and the liquid kinematic viscosity is $0\mathrm{.}000016f\frac{t^2}{s}.$