Question

Twins Ella and Ethan race each other home from the park.

Ella runs 1/3 of the way, walks 1/6 of the way and jogs the rest of the way home.
Ethan runs 1/2 of the way, walks 1/3 of the way and jogs the rest of the way home.
What fraction of the way home did each twin jog?

Answer 1

both Ella and Ethan jogged 1/6 of the way home.

Explanation:

To solve the problem, we need to find the fraction of the distance that each twin jogged.

Let's start with Ella. If she ran 1/3 of the way, walked 1/6 of the way, and jogged the rest of the way, then the fraction of the way she jogged is:

1 - 1/3 - 1/6 = 2/6 - 1/6 - 1/6 = 1/6

So Ella jogged 1/6 of the way home.

Now let's look at Ethan. If he ran 1/2 of the way, walked 1/3 of the way, and jogged the rest of the way, then the fraction of the way he jogged is:

1 - 1/2 - 1/3 = 6/6 - 3/6 - 2/6 = 1/6

So Ethan jogged 1/6 of the way home, which is the same as Ella.

Therefore, both Ella and Ethan jogged 1/6 of the way home.