Respuesta :
It takes 4 hours to complete the entire fence
Solution:
Given that construction company is building a fence that is [tex]\frac{2}{3}[/tex] miles long
They build [tex]\frac{1}{6}[/tex] of the fence every hour
To find: number of hours required to complete the fence
From given information,
Length of fence = [tex]\frac{2}{3} \text{ miles }[/tex]
Time taken to build [tex]\frac{1}{6}[/tex] mile of fence = 1 hour
Then time taken to build 1 mile of fence = Time taken to build [tex]\frac{1}{6}[/tex] mile of fence divided by 1/6
[tex]\rightarrow \frac{1}{\frac{1}{6}} = 1 \times \frac{6}{1} = 6[/tex]
Thus 6 hours are needed to build 1 mile of fence
So to build entire length of fence, time taken is given as:
time taken = total length of fence x time taken for 1 mile of fence
[tex]\rightarrow \frac{2}{3} \times 6 = 2 \times 2 = 4[/tex]
Thus it takes 4 hours to complete the entire fence
