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

Step-by-step explanation:

Given : A construction company is building a fence that is $\dfrac{2}{3}$ mile long.

i.e. Length of fence =  $\dfrac{2}{3}$ mile .

They can build $\dfrac{1}{6}$ mile of fence every hour.

i..e Time taken to build $\dfrac{1}{6}$ mile fence= 1 hour

Then, Time taken to build 1 mile fence=$\dfrac{1}{\dfrac{1}{6}}=6\text{ hour}$    [By Unitary method]

Then , Time taken to build  $\dfrac{2}{3}$ mile fence = $\dfrac{2}{3}\times6\text{ hour}$    

=4 hours.

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