It takes 12 hours for 8 people to paint a house. How long will it take 3 people to do the job?
I'm not really sure how to go about solving this problem.
the job takes 96 people-hours
so for 3 people... 96/3 hr
To solve this problem, you can use the concept of "work rate" or "man-hours." The work rate is the amount of work done in a given amount of time by one person.
Step 1: Find the work rate of one person.
Since 8 people paint a house in 12 hours, the total work done is 8 * 12 = 96 man-hours (8 people * 12 hours).
Therefore, the work rate of one person is 96 man-hours / 8 people = 12 man-hours/person.
Step 2: Calculate the time it will take for 3 people to do the job.
Since the work rate of one person is 12 man-hours/person, we can divide the total work needed, which is 96 man-hours, by the work rate of three people.
Therefore, it will take 96 man-hours / (3 people * 12 man-hours/person) = 8 hours for 3 people to paint the house.
So, it will take 3 people 8 hours to paint the house.