Homework $6\mathrm{.}3\mathrm{.}3$

A heat pump is to be used for heating a house in winter. The house is to be always maintained at $78F.$ When the temperature outdoors drops to $25F,$ the heat losses from the house are estimated to be $55,000Bt\frac{u}{h}.$ Determine the minimum power required to run this heat pump $($both in $"$hp$")$ if heat is extracted from $($a$)$ the outdoor air at $25F$ and $($b$)$ the well water at $50F.$