Question
A marathon is \( \bar{a} 26 \) mile run. If a marathon runner has run 19 miles so far, what percent of the marathon has she completed?
Ask by Knight Beck. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The runner has completed about 73% of the marathon.
Solution
To determine the percentage of the marathon that the runner has completed, follow these steps:
1. **Identify the Total Distance and Distance Run:**
- **Total Marathon Distance:** 26 miles
- **Distance Run So Far:** 19 miles
2. **Calculate the Percentage Completed:**
\[
\text{Percentage Completed} = \left( \frac{\text{Distance Run}}{\text{Total Distance}} \right) \times 100
\]
Plugging in the values:
\[
\text{Percentage Completed} = \left( \frac{19}{26} \right) \times 100 \approx 73.08\%
\]
3. **Conclusion:**
The marathon runner has completed approximately **73%** of the marathon.
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Simplify this solution The Deep Dive
To find the percentage of the marathon completed, you can use the formula: \[ \text{Percentage Completed} = \left( \frac{\text{Distance Run}}{\text{Total Distance}} \right) \times 100 \] In this case, the distance run is 19 miles and the total distance of the marathon is \( 26.2 \) miles. Plugging in the numbers: \[ \text{Percentage Completed} = \left( \frac{19}{26.2} \right) \times 100 \approx 72.52\% \] So, the marathon runner has completed approximately \( 72.52\% \) of the marathon.
