The wall can be built in 22 days by 6 workers in first 6 days and 9 workers in the rest of time.
<h3>How to use inverse proportionality to determine building time of a wall</h3>
In this question we must use the definition of <em>inverse</em> proportionality, in which the number of workers (
), no unit, is inversely proportional to the <em>building</em> time (
), in days.
According to the statement, 6 workers spent 6 days building a wall and there are 24 days left for completion, but 3 more workers entered to reduce building time, which can be represented by the following expression:
![x = 24\,days \times \frac{6}{9}](https://tex.z-dn.net/?f=x%20%3D%2024%5C%2Cdays%20%5Ctimes%20%20%5Cfrac%7B6%7D%7B9%7D)
![x = 16\,days](https://tex.z-dn.net/?f=x%20%3D%2016%5C%2Cdays)
In this scenario, the wall can be built in 22 days. ![\blacksquare](https://tex.z-dn.net/?f=%5Cblacksquare)
To learn more on inverse proportionality, we kindly invite to check this verified question: brainly.com/question/4838941