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
- Distance = $$500 \text{ miles}
- Speed = 70 \text{ miles per hour}
Step 3:: Set up the time calculation formula
The formula to calculate time is: $$\text{Time} = \frac{\text{Distance}}{\text{Speed}}
Step 4:: Plug in the values
\text{Time} = \frac{500 \text{ miles}}{70 \text{ miles per hour}}
Step 5:: Perform the division
\text{Time} = 7.14 \text{ hours}
Step 6:: Convert to hours and minutes
- Whole hours: $$7 \text{ hours}
- Remaining minutes: 0.14 \times 60 = 8.4 \text{ minutes} (rounded to 8 minutes)
Final Answer
It takes 7 \text{ hours and } 8 \text{ minutes} to drive 500 miles at 70 mph.
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