If 6 workers complete a task in 8 hours, how long would it take 12 workers?

To determine how long it would take for 12 workers to complete the same task, we can use the concept of worker-hours, which reflects the total amount of work required. If 6 workers can finish the task in 8 hours, we first calculate the total worker-hours needed to complete the task.

Specifically, 6 workers working for 8 hours contribute a total of:

[

6 \text{ workers} \times 8 \text{ hours} = 48 \text{ worker-hours}

]

This means that a total of 48 worker-hours is required to finish the task. Now, if we have 12 workers available to work on the same task, we need to find out how many hours (denoted as (H)) would be required for these workers to accumulate the same 48 worker-hours.

Since the equation for total worker-hours can be set up as:

[

12 \text{ workers} \times H \text{ hours} = 48 \text{ worker-hours}

]

To find (H), we rearrange the equation:

[

H = \frac{48 \text{ worker-hours}}{12 \text{ workers}} = 4 \text{