Answer:
30 workers are required.
Step-by-step explanation:
If the site measured 30 acres and was completed in 10 days, then it can be said that on average [tex]\frac{30}{10} = 3\frac{acres}{day}[/tex] were made.
Then, 24 workers completed 3 acres / day.
Then, [tex]\frac{24.workers}{\frac{3acres}{day}} = \frac{8..Workers * days}{acre}[/tex]
8 workers can complete 1 acre per day
Now to know how many workers are needed to complete 45 acres in 12 days, we multiply:
[tex]8\frac{Workers * days}{acre}*\frac{45}{12} \frac{acres}{days} = 30.workers[/tex].
Finally, 30 workers are required.
To solve this problem it was assumed that everyone worked at the same pace, which may not be true, the fact that some work at a slower or faster pace than another could alter the result, causing them to finish less or more acres by day.