A submersible deep$-$well pump delivers $745$ gal$/$h of water through a $1-$in Schedule $40$

steel pipe when operating in the system sketched. An energy loss of $10\mathrm{.}5$ lb$-$ft$/$lb occurs

in the piping system.

$($a$)$ Calculate the power delivered by the pump to the water; and

$($b$)$ If the pump draws $1$ hp$,$ calculate its efficiency $($em$)$