Answer :
To figure out how many miles a person will run during a 10-kilometer race, we can follow these steps:
1. Understand the conversion factor:
We know from our conversion table that 1 mile is equivalent to 1.6093 kilometers.
2. Set up the conversion:
We need to convert kilometers to miles. The conversion factor tells us that:
[tex]\[
1 \, \text{mile} = 1.6093 \, \text{kilometers}
\][/tex]
To find out how many miles 10 kilometers are, we can use the formula:
[tex]\[
\text{Miles} = \text{Kilometers} \times \left( \frac{1 \, \text{mile}}{1.6093 \, \text{kilometers}} \right)
\][/tex]
3. Plug in the values:
Given that the race is 10 kilometers, we substitute 10 for the number of kilometers:
[tex]\[
\text{Miles} = 10 \, \text{kilometers} \times \left( \frac{1 \, \text{mile}}{1.6093 \, \text{kilometers}} \right)
\][/tex]
Simplifying this:
[tex]\[
\text{Miles} = 10 \, \text{kilometers} \times 0.621388 \, \frac{\text{miles}}{\text{kilometer}}
\][/tex]
4. Calculate the result:
By performing the multiplication:
[tex]\[
\text{Miles} = 10 \times 0.621388
\][/tex]
[tex]\[
\text{Miles} = 6.213881811967936
\][/tex]
Therefore, a person will run approximately 6.2139 miles during a 10-kilometer race.
1. Understand the conversion factor:
We know from our conversion table that 1 mile is equivalent to 1.6093 kilometers.
2. Set up the conversion:
We need to convert kilometers to miles. The conversion factor tells us that:
[tex]\[
1 \, \text{mile} = 1.6093 \, \text{kilometers}
\][/tex]
To find out how many miles 10 kilometers are, we can use the formula:
[tex]\[
\text{Miles} = \text{Kilometers} \times \left( \frac{1 \, \text{mile}}{1.6093 \, \text{kilometers}} \right)
\][/tex]
3. Plug in the values:
Given that the race is 10 kilometers, we substitute 10 for the number of kilometers:
[tex]\[
\text{Miles} = 10 \, \text{kilometers} \times \left( \frac{1 \, \text{mile}}{1.6093 \, \text{kilometers}} \right)
\][/tex]
Simplifying this:
[tex]\[
\text{Miles} = 10 \, \text{kilometers} \times 0.621388 \, \frac{\text{miles}}{\text{kilometer}}
\][/tex]
4. Calculate the result:
By performing the multiplication:
[tex]\[
\text{Miles} = 10 \times 0.621388
\][/tex]
[tex]\[
\text{Miles} = 6.213881811967936
\][/tex]
Therefore, a person will run approximately 6.2139 miles during a 10-kilometer race.
