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

18 insulators.

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:

`(12)/(18(3)/(4) ) =(x)/(28(1)/(8) )`

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

`x=((12)(28(1)/(8) )/(18(3)/(4) )`

`x=(336(4)/(8) )/(18(3)/(4) )`

`x=18 }`

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

Answer 2

We can install 18 insulators in
`28(1)/(8)` hours.

Explanation:

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

`18(3)/(4)=(75)/(4)` hours

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

`(12)/((75)/(4))=(48)/(75)`

Now, we need to calculate for number of insulators in
`28(1)/(8)` hours

So, in
`28(1)/(8)=(225)/(8)` hours insulators will be

`(225)/(8)\cdot (48)/(75)=18`

So, we can install 18 insulators in
`28(1)/(8)` hours.