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