Question $4[10]$

A pipeline that transports water at rate of $3\frac{m^3}{s}$ branches out into two parallel pipes made of steel in rusted condition that reconnect downstream. Pipe $1$ is $500$ m long has a diameter of $30$ cm while pipe $2$ is $800$ m long and a diameter of $45$ cm $.$ The minor losses are negligible. Determine the flow rate through each of the parallel pipes. The major loss at pipe $1$ is $781\mathrm{.}85$ m and the fraction factor is $0\mathrm{.}0156.$

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