When building a house, the number of days required to build varies inversely with the number of workers. One house was built in 36 days by 21 workers. How many days would it take to build a similar house with 9 workers?

Respuesta :

Answer:

d = 84

Step-by-step explanation:

When 21 workers build a house in 36 days, we know the product of the number of workers and the number of days is constant.

So, 36 days multiplied by 21 workers equals a constant value.

36 multiplied by 21 equals 756, which is our constant value.

Now, to find out how many days it would take to build the house with 9 workers:

We take the constant value (756) and divide it by the number of workers (9).

756 divided by 9 equals 84.

So, it would take 84 days to build a similar house with 9 workers.