1 There are 11 students running a relay race that is 2 mi long. Each student runs approximately \( \frac{2}{11} \mathrm{mi} \). The course has a marker every 0.1 mi . Between which two markers does the second student finish? Show your work.

To find out where the second student finishes, we first determine the distance that the second student runs. Since each student runs approximately \( \frac{2}{11} \) miles, we calculate the total distance covered by the first student as well before the second student starts running. The first student runs \( \frac{2}{11} \text{ mi} \). Therefore, the second student will start running after the first student has finished their leg of the race. Here's how you can calculate it step by step: 1. **Distance the first student runs:** \[ D_1 = \frac{2}{11} \text{ mi} \] 2. **Distance covered by the first student before the second student starts:** \[ D_1 = 0.1818 \text{ mi} \, (\text{approximately}) \] 3. **Distance the second student runs:** The second student also runs \( \frac{2}{11} \text{ mi} = 0.1818 \text{ mi} \). 4. **Total distance covered by the first and second students:** \[ D_{\text{total}} = D_1 + D_2 = 0.1818 \text{ mi} + 0.1818 \text{ mi} = 0.3636 \text{ mi} \] Now, we need to determine between which two markers this distance lies. The course has a marker every 0.1 miles: - The markers are at: - 0.0 mi - 0.1 mi - 0.2 mi - 0.3 mi - 0.4 mi The total distance covered by the second student is approximately 0.3636 miles, which is just shy of the 0.4-mile marker. Therefore, the second student finishes between the 0.3-mile marker and the 0.4-mile marker.