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QuestionMathematics

If you travel at a rate of 45 miles per hour, how many minutes will it take to travel 1 mile?
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Answer

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Step 1:
I'll solve this problem step by step, following the specified LaTeX formatting guidelines:

Step 2:
: Identify the given information

- Speed: $$45 \text{ miles per hour}
- Distance: 1 \text{ mile}

Step 3:
: Set up the conversion calculation

\text{Time} = \frac{\text{Distance}}{\text{Rate}}
To find the time, we'll use the basic distance-rate-time formula:

Step 4:
: Calculate time in hours

\text{Time} = \frac{1 \text{ mile}}{45 \text{ miles per hour}} = \frac{1}{45} \text{ hours}

Step 5:
: Convert hours to minutes

\text{Time in minutes} = \frac{1}{45} \times 60 \text{ minutes}

Step 6:
: Perform the final calculation

\text{Time} = \frac{60}{45} = \frac{4}{3} \text{ minutes} = 1.33 \text{ minutes}

Final Answer

1.33 \text{ minutes} (or 1\frac{1}{3} \text{ minutes})