Question

Sandra walks 1/4 hour per day, 7 times per week. Michelle walks 2/4 hour per day, 5 times a week.
After 1 week, who walked the most: Sandra or Michelle?

Answer 1

To determine who walked the most after one week, we need to calculate the total walking time for both Sandra and Michelle.

1. **Sandra's walking time:**
- Sandra walks \( \frac{1}{4} \) hour per day.
- She walks this amount \( 7 \) times per week.

Total walking time for Sandra in one week:
\[
\text{Total time} = \frac{1}{4} \text{ hour/day} \times 7 \text{ days} = \frac{7}{4} \text{ hours}
\]
Converting \( \frac{7}{4} \) hours to hours and minutes:
\[
\frac{7}{4} \text{ hours} = 1 \text{ hour} + \frac{3}{4} \text{ hour} = 1 \text{ hour} + 45 \text{ minutes} = 1 \text{ hour } 45 \text{ minutes}
\]

2. **Michelle's walking time:**
- Michelle walks \( \frac{2}{4} \) hour per day, which is equivalent to \( \frac{1}{2} \) hour per day.
- She walks this amount \( 5 \) times per week.

Total walking time for Michelle in one week:
\[
\text{Total time} = \frac{1}{2} \text{ hour/day} \times 5 \text{ days} = \frac{5}{2} \text{ hours}
\]
Converting \( \frac{5}{2} \) hours to hours and minutes:
\[
\frac{5}{2} \text{ hours} = 2 \text{ hours} + \frac{1}{2} \text{ hour} = 2 \text{ hours } 30 \text{ minutes}
\]

3. **Comparison:**
- Sandra walked a total of \( 1 \text{ hour } 45 \text{ minutes} \).
- Michelle walked a total of \( 2 \text{ hours } 30 \text{ minutes} \).

Since \( 2 \text{ hours } 30 \text{ minutes} \) is greater than \( 1 \text{ hour } 45 \text{ minutes} \), Michelle walked more than Sandra.

**Conclusion:** Michelle walked the most after one week.