To determine how many miles Russell can run in one minute, we need to find his running rate per minute. Here’s the step-by-step solution:
1. Identify the given information:
- Russell runs [tex]\(\frac{9}{10}\)[/tex] mile in 5 minutes.
2. Determine the distance he runs per minute:
- We know that in 5 minutes, Russell runs [tex]\(\frac{9}{10}\)[/tex] of a mile.
- To find out how far he runs in one minute, we divide the total distance by the total time.
3. Set up the calculation:
[tex]\[
\text{Distance per minute} = \frac{\text{Total distance}}{\text{Total time}}
\][/tex]
[tex]\[
\text{Distance per minute} = \frac{\frac{9}{10} \text{ mile}}{5 \text{ minutes}}
\][/tex]
4. Simplify the calculation:
[tex]\[
\text{Distance per minute} = \frac{9}{10} \div 5
\][/tex]
Dividing by 5 is the same as multiplying by [tex]\(\frac{1}{5}\)[/tex], so:
[tex]\[
\text{Distance per minute} = \frac{9}{10} \times \frac{1}{5}
\][/tex]
[tex]\[
\text{Distance per minute} = \frac{9 \times 1}{10 \times 5}
\][/tex]
[tex]\[
\text{Distance per minute} = \frac{9}{50}
\][/tex]
5. Convert the fraction to a decimal:
To get a numerical value:
[tex]\[
\frac{9}{50} = 0.18
\][/tex]
Thus, Russell can run 0.18 miles in one minute.
