
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 the intersection of two perpendicular roads in a flat desert region. It moves at 60 miles per hour on the roads and at 10 miles per hour directly across the desert. Determine the area of the set of points the truck can reach within ten minutes. Express the area as a fraction $m/n$, where $m$ and $n$ are coprime integers. Find $m+n$.

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