
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 large desert, a firetruck is stationed at the intersection of two perpendicular roads. The truck travels at $60$ miles per hour on the roads and at $10$ miles per hour on the desert sand. Consider the set of points that the firetruck can reach within eight minutes. Determine the area of this region in square miles, expressing your answer as a fraction $m/n$ where $m$ and $n$ are coprime integers.

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