Answer
$1.7min$
Work Step by Step
We start with the formula:
$Q=mC\Delta T$
We plug in the known values to obtain:
$Q=(0.65)(4186)(5.0)$
$Q=13.6KJ$
We know that
$P=\frac{Q}{t}$
$\implies Q=Pt$
$\implies t=\frac{Q}{P}$
We plug in the known values to obtain:
$t=\frac{13.6KJ}{(0.18hp)(\frac{746.7J/s}{hp})}$
$t=(101s)(\frac{1min}{60s})$
$t=1.7min$