Question 18

Explanation

This problem falls into the category of Inverse Proportion. If the number of workers increases, the time required to complete the work decreases, and vice versa.

Given:

• $x$ workers can complete the order in $20$ days.
• The order must be completed in $5$ days with $P$ workers.

The relationship between the number of workers and the work time can be written as:

Substitute the known values:

Then the value of $P$ is:

It is known that $Q = 4x$.

Therefore:

So, the correct relationship is $P = Q$.