Please someone brilliant answer this!!!
Eighteen plumbers can install 540 water lines in six weeks. How long will it take twelve plumbers to install the same number of lines?

Respuesta :

Answer:

9 weeks

Step-by-step explanation:

540 divided by 18 is 30

30 divide by 5 days in a work week is 6 weeks

540 divided by 12 is 45

45 divided by 5 days in a work week is 9 weeks

a work week don't consist of weekends

It will take twelve (12) plumbers 9 weeks to install the same number of lines

From the question,

We have that, 18 plumbers can install 540 water lines in 6 weeks,

To determine how long it will take 12 plumbers to install the same number of lines,

First, we will determine how long it will take 1 plumber.

If 18 plumbers can install 540 water lines in 6 weeks

Then,

1 plumber will install 540 water lines in 18 × 6 weeks

18 × 6 weeks = 108 weeks

∴ It will take 1 plumber 108 weeks to install 540 water lines

Now, for the number of weeks it will take 12 plumbers

If 1 plumber can install 540 water lines in 108 weeks

Then,

12 plumbers will install 540 water lines in [tex]\frac{108}{12}[/tex] weeks

[tex]\frac{108}{12} = 9 \ weeks[/tex]

Hence, it will take twelve (12) plumbers 9 weeks to install the same number of lines

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