Question

Sierra walks her dog Pepper twice a day. Her evening walk is two and a half times as far as her morning walk. At the end of 7 days, she tells her mom,
I walked Pepper for 30 miles this week!
How long is her morning walk?

Answer 1

Let the distance of Sierra's morning walk be \( x \) miles. Therefore, her evening walk, being two and a half times as far, would be \( 2.5x \) miles.

Sierra walks Pepper twice a day, so the total distance walked in one day is:

\[
x + 2.5x = 3.5x \text{ miles}
\]

Over the course of 7 days, the total distance she walks will be:

\[
7 \times 3.5x = 24.5x \text{ miles}
\]

According to the information given, her total walking distance over the week is 30 miles:

\[
24.5x = 30
\]

To find \( x \), divide both sides by 24.5:

\[
x = \frac{30}{24.5} \approx 1.22449
\]

Thus, the distance of her morning walk is approximately \( 1.22 \) miles.

For simplicity, a more precise calculation gives:

\[
x \approx 1.2244898
\]

Thus, the answer to how long her morning walk is approximately:

\[
\boxed{1.22} \text{ miles}
\]