To solve this problem, we need to calculate the speeds for Lea A, B, C, D, and E by using the formula for speed:
[tex]\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\][/tex]
Let's calculate the speed for each Lea step-by-step:
1. For Lea A:
[tex]\[
\text{Speed}_A = \frac{15 \text{ km}}{10 \text{ min}} = 1.5 \text{ km/min}
\][/tex]
2. For Lea B:
[tex]\[
\text{Speed}_B = \frac{20 \text{ km}}{15 \text{ min}} = 1.3333 \text{ km/min}
\][/tex]
3. For Lea C:
[tex]\[
\text{Speed}_C = \frac{24 \text{ km}}{12 \text{ min}} = 2.0 \text{ km/min}
\][/tex]
4. For Lea D:
[tex]\[
\text{Speed}_D = \frac{36 \text{ km}}{9 \text{ min}} = 4.0 \text{ km/min}
\][/tex]
5. For Lea E:
[tex]\[
\text{Speed}_E = \frac{14 \text{ km}}{14 \text{ min}} = 1.0 \text{ km/min}
\][/tex]
These are the calculated speeds for each Lea:
[tex]\[
\text{Speed}_A = 1.5 \text{ km/min}
\][/tex]
[tex]\[
\text{Speed}_B = 1.3333 \text{ km/min}
\][/tex]
[tex]\[
\text{Speed}_C = 2.0 \text{ km/min}
\][/tex]
[tex]\[
\text{Speed}_D = 4.0 \text{ km/min}
\][/tex]
[tex]\[
\text{Speed}_E = 1.0 \text{ km/min}
\][/tex]
Therefore, the speeds for each Lea in the correct order are [tex]\( 1.5, 1.3333, 2.0, 4.0, 1.0 \)[/tex] km/min.
