
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 corsair spots a cargo ship $12$ miles ahead at 10:00 a.m. The corsair, propelled by strong winds, speeds towards the cargo ship at $14$ mph, while the cargo ship moves away at $10$ mph. After three hours, the corsair suffers damage to its rigging; it can now pace at only $15$ miles in the same time the cargo ship covers $13$ miles. At what time will the corsair catch up to the cargo ship?
A) 12:00 p.m.
B) 1:00 p.m.
C) 2:00 p.m.
D) 3:00 p.m.

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