Final answer:
To determine the number of runners needed for an 11-mile relay where each runner covers 3 2/3 miles, divide the total miles by the distance one runner covers. The calculation shows that 3 runners are required.
Step-by-step explanation:
The student asked how many runners must be on a relay team if the team must run 11 miles in total and each person runs 3 2/3 miles. To find the answer, you divide the total distance by the distance each runner will cover. Since 3 2/3 miles is the same as 11/3 miles (or 3.6667 miles), we divide 11 miles by 11/3 miles.
Here's the calculation step by step:
- Convert 3 2/3 to an improper fraction: 3 2/3 = 11/3.
- Divide the total distance by the distance one runner can cover: 11 miles ÷ (11/3 miles) = 11 ÷ 11/3 = 11 * 3/11 = 3.
Therefore, 3 runners are required on the relay team.