The time required to do a job varies inversely as the number of people working It takes $6 \mathrm{hr}$ for 8 bricklayers to build a park wall. How long will it take 4 bricklayers to complete the job?

The bricklayers will take $\square \mathrm{hr}$ to complete the job
(Round to one decimal place as needed)

Step 1 ：The problem states that the time required to do a job varies inversely as the number of people working. This means that if we let T be the time required to do the job and N be the number of people working, we have the relationship: \(T = \frac{k}{N}\) where k is a constant of variation.

Step 2 ：From the problem, we know that it takes 6 hours for 8 bricklayers to build a park wall. We can use this information to find the constant of variation k. We substitute these values into the equation: \(6 = \frac{k}{8}\)

Step 3 ：Solving for k gives us: \(k = 6 * 8 = 48\)

Step 4 ：Now that we know the constant of variation, we can find out how long it will take 4 bricklayers to complete the job. We substitute these values into the equation: \(T = \frac{k}{N} = \frac{48}{4}\)

Step 5 ：\(\boxed{T = 12}\) So, it will take 4 bricklayers 12 hours to complete the job.