Question

A building company used 24 workers to prepare a building site. The site measured 30 acres and the work was completed in 10 days.

Answer 1

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 $\frac{30}{10} = 3\frac{acres}{day}$ were made.

Then, 24 workers completed 3 acres / day.

Then, $\frac{24.workers}{\frac{3acres}{day}} = \frac{8..Workers * days}{acre}$

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:

$8\frac{Workers * days}{acre}*\frac{45}{12} \frac{acres}{days} = 30.workers$.

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.