Answer: 4 hours
Step-by-step explanation:
Given : A construction company is building a fence that is [tex]\dfrac{2}{3}[/tex] mile long.
i.e. Length of fence = [tex]\dfrac{2}{3}[/tex] mile .
They can build [tex]\dfrac{1}{6}[/tex] mile of fence every hour.
i..e Time taken to build [tex]\dfrac{1}{6}[/tex] mile fence= 1 hour
Then, Time taken to build 1 mile fence=[tex]\dfrac{1}{\dfrac{1}{6}}=6\text{ hour}[/tex] [By Unitary method]
Then , Time taken to build [tex]\dfrac{2}{3}[/tex] mile fence = [tex]\dfrac{2}{3}\times6\text{ hour}[/tex]
=4 hours.
Hence, it will take 4 hours to complete the fence.
