12.4k views
0 votes
How many days should it take the remaining 3 workers to build a barn?

How many days should it take the remaining 3 workers to build a barn?-example-1
User Kukuh Tw
by
3.0k points

1 Answer

4 votes

9514 1404 393

Answer:

  • 15 days
  • 7 workers

Explanation:

The effort required to complete a task is often estimated in terms of person·days. Amy's barn-building task takes an effort of ...

(5 workers)(9 days) = 45 worker·days

If there are only 3 workers, the time required is ...

time = (45 worker·days)/(3 workers) = 15 days

__

If the barn is to be build in 7 days, the number of workers required is ...

(45 worker·days)/(7 days) = 6 3/7 workers

A minimum of 7 workers are required to build the barn in 7 days or less. (6 workers will take 7 1/2 days, so aren't enough.)

User Anjisan
by
3.4k points