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QuestionMathematics

What is the driving time for a 2000 -mile trip if you drive at an average speed of 55 miles per hour? What is the driving time at 70 miles per hour?
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Answer

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

Step 2:
: Calculate Driving Time at 55 Miles per Hour

\text{Time} = \frac{2000 \text{ miles}}{55 \text{ miles per hour}} = 36.36 \text{ hours}
To find the driving time, we'll use the distance-rate-time formula: Substituting the values:

Step 3:
: Calculate Driving Time at 70 Miles per Hour

\text{Time} = \frac{2000 \text{ miles}}{70 \text{ miles per hour}} = 28.57 \text{ hours}
Using the same formula:

Final Answer

- Driving time at 55 miles per hour: 36.36 \text{ hours} - Driving time at 70 miles per hour: 28.57 \text{ hours} Note: The difference in driving time is about 7.79 hours due to the increased speed.