$(10$ pt$)$ You are working as part of a hurricane relief effort in Hati and and need to provide

water to a small community at a temporary shelter location. You have a Reverse Osmosis

Water Purification Unit $($ROWPU$)$ that draws water from a nearby stream. You must deliver

the treated water to a storage area about $\frac{1}{4}$ mile away. The only pipe your team was able to

scrounge up is $600ft$ of $4"$ steel pipe and $700ft$ of $2"$ PVC$.$ Fortunately, your team also

found a steel reducer to connect the two pipes. Based on the small pump you have and the

elevation gain required, the maximum head loss in the system is $60$ feet. At a water

temperature of $40F,$ what flow rate can you expect from this system? Solve using the

equivalent length method. Report the answer in gpm$.$ Stop after two iterations even if your

friction factors do not close to within two significant figures. $f_T$ for plastic $=0\mathrm{.}008$