To find out how many miles the boat will travel in 1/2 hour, we first need to determine the rate of the boat in miles per hour.
The boat traveled 27 miles in 2 hours, so we can calculate the rate as follows:
\[ \text{Rate} = \frac{27 \text{ miles}}{2 \text{ hours}} = 13.5 \text{ miles per hour} \]
Next, to find out how far the boat will travel in 1/2 hour, we can use the rate we just calculated:
\[ \text{Distance} = \text{Rate} \times \text{Time} \]
Substituting the rate and the time:
\[ \text{Distance} = 13.5 \text{ miles per hour} \times \frac{1}{2} \text{ hour} \]
Calculating the distance:
\[ \text{Distance} = 13.5 \times 0.5 = 6.75 \text{ miles} \]
Thus, the boat will travel 6.75 miles in 1/2 hour.