To find out how many miles the boat will travel in \( \frac{1}{2} \) hour, we first need to determine the rate of travel of the boat.
The boat traveled 27 miles in 3 hours, so we can calculate the rate (speed) as follows:
\[ \text{Rate} = \frac{\text{Distance}}{\text{Time}} = \frac{27 \text{ miles}}{3 \text{ hours}} = 9 \text{ miles per hour} \]
Now that we know the boat travels at a rate of 9 miles per hour, we can find out how far it will travel in \( \frac{1}{2} \) hour:
\[ \text{Distance} = \text{Rate} \times \text{Time} = 9 \text{ miles per hour} \times \frac{1}{2} \text{ hour} = 4.5 \text{ miles} \]
Therefore, the boat will travel 4.5 miles in \( \frac{1}{2} \) hour.
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