\end{equation}
The tortoise is running for
\begin{equation}
- t_\text{t,run} = \frac{L}{v_\text{h}}
+ t_\text{t,run} = \frac{L}{v_\text{t}}
\end{equation}
and the tortoise is running for the whole race, so the hare pauses for
\begin{align}
t_\text{h,pause} &= t_\text{t,run} - t_\text{h,run}
- = \frac{L}{v_\text{h}} - \frac{L}{v_\text{h}}
- = \frac{1.00\U{km}}{8.00\U{m/s}} - \frac{1.00\U{km}}{0.200\U{m/s}} \\
+ = \frac{L}{v_\text{t}} - \frac{L}{v_\text{h}}
+ = \frac{1.00\U{km}}{0.200\U{m/s}} - \frac{1.00\U{km}}{8.00\U{m/s}} \\
&= \ans{4.88\U{ks}} = 1.35\U{hours}
\end{align}
\end{solution}