To estimate the most reasonable amount of time Polly will drive for 500 miles, we can calculate the time taken at both the lowest and highest speed limits provided.
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At the lowest speed (50 mph): \[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{500 \text{ miles}}{50 \text{ mph}} = 10 \text{ hours} \]
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At the highest speed (70 mph): \[ \text{Time} = \frac{500 \text{ miles}}{70 \text{ mph}} \approx 7.14 \text{ hours} \quad (\text{about } 7 \text{ hours and 8 minutes}) \]
Based on these calculations, Polly could reasonably drive between approximately 7.14 hours (about 7 hours and 8 minutes) and 10 hours depending on the specific speed maintained during her trip.
In conclusion, the most reasonable amount of time Polly will drive likely falls between 7 and 10 hours.
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