
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In a vast open field, a firetruck is located at the intersection of two perpendicular roads. The firetruck travels at a speed of 60 miles per hour along the roads and 18 miles per hour through the field. Determine the area of all points that can be reached by the firetruck within 15 minutes. Express your answer as a fraction $m/n$, where $m$ and $n$ are relatively prime numbers, and find $m + n$.

Present the answer in LaTex format: \boxed{Your answer}
user