
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 remote desert, an ambulance is located at the intersection of two perpendicular roads. This ambulance travels at $60$ miles per hour along the roads and at $10$ miles per hour across the desert. Determine the area of the set of points that the ambulance can reach within eight minutes. Express the area as a fraction $m/n$ in simplest terms and find $m + n$.

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