When building a house, the number of days required to build varies inversely with with the number of workers. One house was built in 45 days by 8 workers. How many days would it take to build a similar house with 18 workers?

Respuesta :

The number of days taken to build a similar house with 18 workers is 20 days.

What is inverse variation?

The relationship between two variables known as "inverse variation" occurs when the value of one variable increases while the value of the other variable decreases.

One house was built in 45 days by 8 workers.

Let x be the number of days and y be the number of workers.

So, inverse variation formula is x∝k/y

⇒ x=k/y

⇒ k=xy

Now, k=8×45

= 360

Number of days taken to build a similar house with 18 workers is

x=360/18

= 20 days

Therefore, the number of days taken to build a similar house with 18 workers is 20 days.

Learn more about the inverse variation here:

https://brainly.com/question/11592410.

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