
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 a cargo ship $15$ miles ahead at noon. The pirate ship speeds towards the cargo ship at $12$ mph, while the cargo ship attempts an escape at $9$ mph. After three hours of pursuit, a sudden storm damages the pirate ship's sails reducing its speed; the ship can then manage only $10$ miles for every $9$ miles the cargo ship covers. How long will it take for the pirate ship to catch up to the cargo ship?
A) 7:00 p.m.
B) 8:00 p.m.
C) 9:00 p.m.
D) 10:00 p.m.

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