13.024. A tractor team can plow 5/6 of a plot of land in 4 hours and 15 minutes. Before the lunch break, the team worked for 4.5 hours, after which 8 hectares remained unplowed. How large was the plot?
## Solution.

Let $x$ ha be the entire plot. Before lunch, the team plowed $\frac{4.5 \cdot \frac{5}{6} x}{4.25}=\frac{15}{17} x$ ha. According to the condition, $\frac{15}{17} x + 8 = x$, from which $x = 68$ ha.

Answer: 68 ha.