Question

if a construction company is building a fence that is 2/3 miles long,and they build 1/6 of the fence every hour.how many hours will it take them to complete the fence?

Answer 1

It takes 4 hours to complete the entire fence

Solution:

Given that construction company is building a fence that is
`(2)/(3)` miles long

They build
`(1)/(6)` of the fence every hour

To find: number of hours required to complete the fence

From given information,

Length of fence =
`(2)/(3) \text{ miles }`

Time taken to build
`(1)/(6)` mile of fence = 1 hour

Then time taken to build 1 mile of fence = Time taken to build
`(1)/(6)` mile of fence divided by 1/6

`\rightarrow (1)/((1)/(6)) = 1 * (6)/(1) = 6`

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

`\rightarrow (2)/(3) * 6 = 2 * 2 = 4`

Thus it takes 4 hours to complete the entire fence