Question

After Paul hiked 5/6 of a mile, he was 2/3 of the way along the trail. How long is the trail?

Answer 1

1 1/4 miles

Explanation:

If your teacher prefers fraction this is the answer:

so if you have two parts and there are 5/6 miles in total of the two parts.

5/6 divided by two

There are 5/6 in each 1/3 because he was 2/3 of the way along the trail.

5/6 x 3= 1 1/4 miles

The trail is 1 1/4 miles long.

Answer 2

1.25 miles.

Explanation:

Let x be the length of trail. We have been given that after Paul hiked
`(5)/(6)` of a mile, he was
`(5)/(6)` of the way along the trail.

Let need to find x such that
`(2)/(3)` of x equals
`(5)/(6)`.

`(2)/(3) x=(5)/(6)`

`x=(5)/(6)* (3)/(2)`

`x=(5)/(2)*(1)/(2)`

`x=(5)/(2* 2)`

`x=(5)/(4)`

`x=1(1)/(4)=1.25`

Therefore, the trail is 1.25 miles long.