To determine how far the pilot can travel in 15 hours at the same rate, we first need to calculate the pilot's speed.
The speed can be found using the formula:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
Given that the pilot flies 540 miles in 2 hours:
\[ \text{Speed} = \frac{540 \text{ miles}}{2 \text{ hours}} = 270 \text{ miles per hour} \]
Now, to find out how far the pilot will travel in 15 hours, we can use the speed calculated:
\[ \text{Distance} = \text{Speed} \times \text{Time} \] \[ \text{Distance} = 270 \text{ miles per hour} \times 15 \text{ hours} = 4050 \text{ miles} \]
Therefore, at this rate, the pilot will travel 4050 miles in 15 hours.