PROBLEM $2(25$ points$)$

A centrifugal pump $($efficiency $79\%)$ driven by an electric motor $($efficiency $88\%)$ lifts water

from an underground reservoir to an elevated household tank. Pumping is through $977.$ ft of

$3-$in$-$diameter pipe at the rate of $290$ gallons per minute $(0\mathrm{.}6461f\frac{t^3}{s}).$ If $f=0\mathrm{.}025,$ determine

the provided power to the pump$-$water system in horsepower $($hp$).$