Question

You're running in a race. You run 880 ft and ask how far you are until the end. You are told you are a third of the way to the midpoint. How many miles long will the whole race be?

Answer 1

5280 miles

Explanation:

So, you are one third of the way to the mid point.

One-third can be represented as a fraction -
`(1)/(3)`.

The mid point will be half the race, so
`(1)/(2)`.

If you are a third of the way to the halfway point, you are
`(1)/(3) \cdot (1)/(2) = (1)/(6)` done with the race.

If 880 miles is
`(1)/(6)` of the race, then the total amount of the race will be 6 times 880 (as
`(1)/(6) \cdot (6)/(1) = 1`).

`880\cdot 6 = 5280`

So the race in total is 5280 miles long.

Hope this helped!