Question
After just 4 tenths of a 2.5 -mile race was completed, Lenox took the lead and remained there until the end of the race. a. How many miles did Lenox lead the race?
Ask by Cruz Parry. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Lenox led the race for 1.5 miles.
Solution
To determine how many miles Lenox led the race, let's break down the information provided:
1. **Total Race Distance:** 2.5 miles.
2. **Point When Lenox Took the Lead:** After 4 tenths (or 0.4) of the race was completed.
- **Distance Completed Before Lenox Took the Lead:**
\( 0.4 \times 2.5 \text{ miles} = 1 \text{ mile} \)
3. **Distance Lenox Led:**
Since Lenox took the lead after 1 mile and remained in front until the end of the race:
\[
2.5 \text{ miles (total)} - 1 \text{ mile} = 1.5 \text{ miles}
\]
**Answer:**
Lenox led the race for 1.5 miles.
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Simplify this solution Bonus Knowledge
Lenox took the lead after completing 4 tenths of the race, which means he had run 0.4 miles out of the total distance of 2.5 miles. Since he maintained his lead until the end of the race, he was in the lead for the remaining distance of 2.5 miles - 0.4 miles = 2.1 miles. Thus, Lenox led the race for a total of 2.1 miles. So, Lenox led the race for 2.1 miles!
