Question

If a lineman can install 12 insulators in 18 3/4 hours how many can he Install in 28 1/8 hours

Answer 1

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:

$\frac{12}{18\frac{3}{4} } =\frac{x}{28\frac{1}{8} }$

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

$x=\frac{(12)(28\frac{1}{8} }{18\frac{3}{4} }$

$x=\frac{336\frac{4}{8} }{18\frac{3}{4} }$

$x=18 }$

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

Answer 2

Answer:

We can install 18 insulators in $28\frac{1}{8}$ hours.

Step-by-step explanation:

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

$18\frac{3}{4}=\frac{75}{4}$ hours

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

$\frac{12}{\frac{75}{4}}=\frac{48}{75}$

Now, we need to calculate for number of insulators in $28\frac{1}{8}$ hours

So, in $28\frac{1}{8}=\frac{225}{8}$ hours insulators will be

$\frac{225}{8}\cdot \frac{48}{75}=18$

So, we can install 18 insulators in $28\frac{1}{8}$ hours.