To repair a stretch of a road, 4 people can do it in 18 days. How many people are required to do it in 12 days? 10. In Kong'oo's farm, the number of goats is less than or equal to the number of sheep

Here are the solutions to the problems:

9. To repair a stretch of a road

Step 1: Identify the relationship between the number of people and the time taken.
This is an inverse proportion problem. The total amount of work is constant.
Let $P_1$ be the initial number of people and $D_1$ be the initial number of days.
Let $P_2$ be the new number of people and $D_2$ be the new number of days.
The relationship is given by $P_1 D_1 = P_2 D_2$.

Step 2: Substitute the given values into the equation.
We have $P_1 = 4$ people, $D_1 = 18$ days, and $D_2 = 12$ days. We need to find $P_2$.

$$4 \times 18 = P_2 \times 12$$

Step 3: Solve for $P_2$.

$$72 = 12 P_2$$

Divide both sides by 12:

$$P_2 = \frac{72}{12}$$ $$P_2 = 6$$

To complete the work in 12 days, $\boxed{\text{6 people}}$ will be required.

10. In Kong'oo's farm