To find out how many miles the boat will travel in 1/2 hour, we first need to determine the boat's rate of speed.
The boat traveled 27 miles in 3 hours. We can calculate the rate by dividing the distance by the time:
\[ \text{Rate} = \frac{\text{Distance}}{\text{Time}} = \frac{27 \text{ miles}}{3 \text{ hours}} = 9 \text{ miles per hour} \]
Now that we know the rate is 9 miles per hour, we can find the distance traveled in 1/2 hour. We can do this by multiplying the rate by the time:
\[ \text{Distance} = \text{Rate} \times \text{Time} = 9 \text{ miles per hour} \times \frac{1}{2} \text{ hour} = 4.5 \text{ miles} \]
Therefore, the boat will travel 4.5 miles in 1/2 hour.