Jamal works as an electrician's apprentice. He rewired 4 electrical outlets in 1 and one-halfhours. If he works at the same pace for 7.5 hours, how many outlets will he rewire? 5 outlets 13 outlets 20 outlets 30 outlets

Respuesta :

Given :

Jamal works as an electrician's apprentice. He rewired 4 electrical outlets in 1 and one-halfhours.

To Find :

If he works at the same pace for 7.5 hours, how many outlets will he rewire.

Solution :

Let, rate of wire rewired in one hour is r.

So, [tex]r=\dfrac{4}{1.5}\ = \dfrac{8}{3}\ rewire/hour[/tex].

Now, number of outlets rewired in 7.5 hours are :

[tex]N=7.5\times\dfrac{8}{3}\\\\N = 20[/tex]

Therefore, he will rewire 20 outlets in 7.5 hours.

Hence, this is the required solution.

Answer:

20 outlets

Step-by-step explanation:

Number of outlets rewired in 1.5 hours = 4

Jamal keeps on working at the same pace 7.5 hours.

To find:

Number of outlets rewired = ?

Solution:

The answer can be found by using the unitary method.

First of all, we need to find number of outlets rewired in 1 hour.

And then, we can multiply with 7.5 to find out the answer.

Number of outlets rewired in 1.5 hours = 4

Number of outlets rewired in 1 hour = [tex]\dfrac{4}{1.5} = \dfrac{40}{15} = \dfrac{8}{3}[/tex]

Number of outlets rewired in 7.5 hours = [tex]\dfrac{8}{3}\times 7.5 = \bold{20}[/tex]

So, 20 outlets can be rewired in 7.5 hours.

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