Given that,
5 machines make 5 articles in 5 minutes.
So it implies that, it takes 5 minutes for a machine to make 1 item.
So, when there is 100 machines, each machine needs 5 minutes to make one article.
So each machine does,
![\frac{1}{5\text{ minutes}}*100=20\text{ per minute}](https://img.qammunity.org/2023/formulas/mathematics/high-school/oddgsjkghma1o5afdyra6cf6hxev57u6b1.png)
That is, 20 articles will be produced per minute when there is 100 machines. So for total of 100 articles,
![\frac{100\text{ article}}{20\text{ article/minute}}=5\text{ minutes.}](https://img.qammunity.org/2023/formulas/mathematics/high-school/a6y5zr3jughdxbho1vj67xqnleg7bt5q6y.png)
5 minutes is needed for 100 machines to make 100 articles.