Answer
a) $\dot{W}_i=9.43\ hp$
b) $\dot{Q}_L=36000\ Btu/h$
Work Step by Step
$COP_{HP}=\dot{Q}_H/\dot{W}_i$
Given $COP=2.5,\ \dot{Q}_H=60000\ Btu/h$:
$\dot{W}_i=24000\ Btu/h=9.43\ hp$
$\dot{Q}_H=\dot{W}_e+\dot{Q}_L$
$\dot{Q}_L=36000\ Btu/h$