## Task 1 - V10821

In an LPG, potatoes are laid out using a four-row laying machine. With this modern machine, 3 cooperative farmers can lay out 5 hectares of potatoes in 10 hours.

In the past, when farmers had to lay out the potatoes by hand, one farmer could manage 0.5 hectares in 8 hours. Additionally, he needed 2 hours for loosening the soil and covering the potatoes.

How many hours of work (labor hours) are required for 1 hectare

a) with the potato laying machine,

b) with manual labor?

c) Compare the figures by calculating percentages.
a) The ratio equation $3 \cdot 10: 5=x: 1$ has the solution $x=6$. With the potato planting machine, 6 laborers are required for 1 hour to plant 1 ha.

b) Analogously, from $10: 0.5=x: 1$ the solution is $x=20$. For manual work, 20 labor hours are required for 1 ha.

c) From the values in a) and b), $6: x=20: 100, x=30$. The labor requirement with the planting machine is only 30 percent.