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

Answer:

5280 miles

Step-by-step explanation:

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

One-third can be represented as a fraction - $\frac{1}{3}$.

The mid point will be half the race, so $\frac{1}{2}$.

If you are a third of the way to the halfway point, you are $\frac{1}{3} \cdot \frac{1}{2} = \frac{1}{6}$  done with the race.

If 880 miles is $\frac{1}{6}$ of the race, then the total amount of the race will be 6 times 880 (as $\frac{1}{6} \cdot \frac{6}{1} = 1$).

$880\cdot 6 = 5280$

So the race in total is 5280 miles long.

Hope this helped!