To determine how many miles the boat will travel in ½ hour, we first need to calculate the boat's speed.
The boat traveled 27 miles in 3 hours, so we can find the speed by dividing the distance by the time:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{27 \text{ miles}}{3 \text{ hours}} = 9 \text{ miles per hour} \]
Now, we need to calculate how far the boat travels in ½ hour. Since the speed of the boat is 9 miles per hour, we can use the formula:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
Now plug in the values:
\[ \text{Distance} = 9 \text{ miles per hour} \times 0.5 \text{ hour} = 4.5 \text{ miles} \]
Therefore, the boat will travel 4.5 miles in ½ hour.
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