First, we need to determine the speeds of Tony and Antonio the turtles.
Tony the turtle completes a 15-foot course in 1 minute, so his speed is: \[ \text{Speed of Tony} = \frac{15 \text{ feet}}{1 \text{ minute}} = 15 \text{ feet per minute} \]
Antonio the turtle completes an 18-foot course in 1 minute, so his speed is: \[ \text{Speed of Antonio} = \frac{18 \text{ feet}}{1 \text{ minute}} = 18 \text{ feet per minute} \]
Next, we calculate the distance each turtle travels in 5 minutes.
Distance traveled by Tony in 5 minutes: \[ \text{Distance}{Tony} = \text{Speed}{Tony} \times \text{Time} = 15 \text{ feet per minute} \times 5 \text{ minutes} = 75 \text{ feet} \]
Distance traveled by Antonio in 5 minutes: \[ \text{Distance}{Antonio} = \text{Speed}{Antonio} \times \text{Time} = 18 \text{ feet per minute} \times 5 \text{ minutes} = 90 \text{ feet} \]
Now, we find the distance apart after 5 minutes by subtracting the distance traveled by Tony from the distance traveled by Antonio: \[ \text{Distance apart} = \text{Distance}{Antonio} - \text{Distance}{Tony} = 90 \text{ feet} - 75 \text{ feet} = 15 \text{ feet} \]
Therefore, after 5 minutes, Tony and Antonio will be 15 feet apart.
The correct answer is 15 feet.