Question

A construction company is building a fence that is 2/3 mile long. They can build 1/6 mile of fence every hour. How many hours will it take them to complete the fence using a number line

Answer 1

It will take them 4 hours because if you take 2/3, it is = to 4/6 and 1/6 times 4 is 4/6

Answer 2

Answer: 4 hours

Explanation:

Given : A construction company is building a fence that is
`(2)/(3)` mile long.

i.e. Length of fence =
`(2)/(3)` mile .

They can build
`(1)/(6)` mile of fence every hour.

i..e Time taken to build
`(1)/(6)` mile fence= 1 hour

Then, Time taken to build 1 mile fence=
`(1)/((1)/(6))=6\text{ hour}` [By Unitary method]

Then , Time taken to build
`(2)/(3)` mile fence =
`(2)/(3)*6\text{ hour}`

=4 hours.

Hence, it will take 4 hours to complete the fence.