
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 pirate ship spots,  $10$  nautical miles to the east, an oblivious caravel sailing  $60$  south of west at a steady  $12 \text{ nm/hour}$ . What is the minimum speed that the pirate ship must maintain at to be able to catch the caravel?

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