Question

Cara lives 7/10 mile from school. One morning, she walks 1/5 mile towards school and meets her friend, Aaron. How far from school are they?
6/5 mile
1/2 mile
3/5 mile
8/15 mile

Answer 1

To find out how far Cara and her friend Aaron are from the school after Cara walks towards it, we can follow these steps:

1. **Determine how far Cara walked towards the school:**
Cara walked \( \frac{1}{5} \) mile towards the school.

2. **Determine how far she has left to reach school:**
The total distance from her home to the school is \( \frac{7}{10} \) mile.

To find the distance she has left to reach the school, we subtract the distance she walked from the total distance:
\[
\text{Distance from school} = \text{Total distance} - \text{Distance walked}
\]
\[
\text{Distance from school} = \frac{7}{10} - \frac{1}{5}
\]

3. **Convert fractions to a common denominator:**
The least common denominator of 10 and 5 is 10. We can rewrite \( \frac{1}{5} \) as \( \frac{2}{10} \):
\[
\frac{1}{5} = \frac{2}{10}
\]

4. **Now perform the subtraction:**
\[
\frac{7}{10} - \frac{2}{10} = \frac{5}{10}
\]

5. **Simplify the fraction:**
\[
\frac{5}{10} = \frac{1}{2}
\]

So, after Cara walks \( \frac{1}{5} \) mile towards the school, she and Aaron are \( \frac{1}{2} \) mile from the school.

The answer is **1/2 mile**.