Respuesta :

Answer:

We can install 18 insulators in [tex]28\frac{1}{8}[/tex] hours.

Step-by-step explanation:

We have been given that the lineman can install 12 insulators in

[tex]18\frac{3}{4}=\frac{75}{4}[/tex] hours

So, by unitary method we will calculate for 1 hour which is:

[tex]\frac{12}{\frac{75}{4}}=\frac{48}{75}[/tex]

Now, we need to calculate for number of insulators in [tex]28\frac{1}{8}[/tex] hours

So, in [tex]28\frac{1}{8}=\frac{225}{8}[/tex] hours insulators will be

[tex]\frac{225}{8}\cdot \frac{48}{75}=18[/tex]

So, we can install 18 insulators in [tex]28\frac{1}{8}[/tex] hours.

Answer:

18 insulators.

Step-by-step explanation:

In order to be able to calculate how many insulators can the lineman instal in 28 1/8 hours, if we know that he can instal 12 in 18 3/4 hours we just have to do a rule of three:

[tex]\frac{12}{18\frac{3}{4} } =\frac{x}{28\frac{1}{8} }[/tex]

If you clear the rule of three you get the next function:

[tex]x=\frac{(12)(28\frac{1}{8} }{18\frac{3}{4} }[/tex]

[tex]x=\frac{336\frac{4}{8} }{18\frac{3}{4} }[/tex]

[tex]x=18 }[/tex]

So now we know that the lineman can install 18 insulators in 28 1/8 hours.