6 workers can build a wall in 30 days. If after 6 days 3 more workers join, find the number of days to build the same wall?

Respuesta :

The wall can be built in 22 days by 6 workers in first 6 days and 9 workers in the rest of time.

How to use inverse proportionality to determine building time of a wall

In this question we must use the definition of inverse proportionality, in which the number of workers ([tex]n[/tex]), no unit, is inversely proportional to the building time ([tex]t[/tex]), in days.

According to the statement, 6 workers spent 6 days building a wall and there are 24 days left for completion, but 3 more workers entered to reduce building time, which can be represented by the following expression:

[tex]x = 24\,days \times \frac{6}{9}[/tex]

[tex]x = 16\,days[/tex]

In this scenario, the wall can be built in 22 days. [tex]\blacksquare[/tex]

To learn more on inverse proportionality, we kindly invite to check this verified question: https://brainly.com/question/4838941