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 :

thepingu

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 - [tex]\frac{1}{3}[/tex].

The mid point will be half the race, so [tex]\frac{1}{2}[/tex].

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

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

[tex]880\cdot 6 = 5280[/tex]

So the race in total is 5280 miles long.

Hope this helped!