
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
A firetruck is located at an intersection of two perpendicular roads in a flat desert. The truck can travel at 60 miles per hour on the roads and at 10 miles per hour in the desert. Determine the area of all points that the firetruck can reach within 5 minutes. Express the area in the form $m/n$ square miles, where $m$ and $n$ are coprime integers, and find $m + n$.

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