Question

The number of days needed to remodel a house varies inversely as the number of people working on the job. It takes 18 weeks for 4 people to complete the project. If the job has to be finished in 8 weeks, how many people are needed?

Answer 1

To solve this problem, you must follow the proccedure below:

1. First, you must calculate the Constant of proportionality "k".

2. The problem says that the number of days needed to remodel a house varies inversely as the number of people working on the job. Then:

Number of days=K/Number of people
K=(Number of days)(Number of people)

18 weeks=135 days

K=135x4
K=540

3. Now, you have:

Number of days=540/Number of people

8 weeks=60 days

Number of people=540/60
Number of people=9

How many people are needed?

The answer is: 9