#### Answer

(b) The 1-hp motor does half the work as the 2-hp motor in the same time.

#### Work Step by Step

Work done by the 1-hp motor, $W_1=P_1\times t_1=t_1$.\\
Work done by the 2-hp motor, $W_2=P_2\times t_2=2t_2$.\\
Taking the ratio of the work done in the two cases,
\begin{align*}
W_1=\frac{t_1}{2t_2}W_2
\end{align*}For, the same amount of time i.e. $t_1=t_2$, $W_1=0.5\times W_2$