Questions: Use the table for 5 and 6. The trail around Mirror Lake in Yosemite National Park is 5 miles long. 5. What fraction describes how much more of the trail Jon hiked than Andrea hiked? 6. What fraction describes how much more of the trail Callie hiked than Jon hiked?

Use the table for 5 and 6. The trail around Mirror Lake in Yosemite National Park is 5 miles long.
5. What fraction describes how much more of the trail Jon hiked than Andrea hiked?
6. What fraction describes how much more of the trail Callie hiked than Jon hiked?
Transcript text: Use the table for $\mathbf{5}$ and 6. The trail around Mirror Lake in Yosemite National Park is 5 miles long. 5. What fraction describes how much more of the trail Jon hiked than Andrea hiked? 6. What fraction describes how much more of the trail Callie hiked than Jon hiked?
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Solution

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Paso 1: Definir las distancias

Definimos las distancias recorridas por cada persona:

  • \( d_{\text{Andrea}} = 2 \) millas
  • \( d_{\text{Jon}} = 3 \) millas
  • \( d_{\text{Callie}} = 4 \) millas
  • Longitud total del sendero: \( L = 5 \) millas
Paso 2: Calcular la diferencia entre Jon y Andrea

Calculamos la diferencia entre las distancias recorridas por Jon y Andrea: \[ \text{diferencia}_{\text{Jon, Andrea}} = d_{\text{Jon}} - d_{\text{Andrea}} = 3 - 2 = 1 \text{ milla} \]

Paso 3: Expresar la diferencia como fracción

Expresamos la diferencia como una fracción del total del sendero: \[ \text{fracción}_{\text{Jon, Andrea}} = \frac{\text{diferencia}_{\text{Jon, Andrea}}}{L} = \frac{1}{5} \]

Paso 4: Calcular la diferencia entre Callie y Jon

Calculamos la diferencia entre las distancias recorridas por Callie y Jon: \[ \text{diferencia}_{\text{Callie, Jon}} = d_{\text{Callie}} - d_{\text{Jon}} = 4 - 3 = 1 \text{ milla} \]

Paso 5: Expresar la diferencia como fracción

Expresamos esta diferencia como una fracción del total del sendero: \[ \text{fracción}_{\text{Callie, Jon}} = \frac{\text{diferencia}_{\text{Callie, Jon}}}{L} = \frac{1}{5} \]

Respuesta Final

Para la pregunta 5: \( \boxed{\frac{1}{5}} \)
Para la pregunta 6: \( \boxed{\frac{1}{5}} \)

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