
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 trading vessel $15$ miles away at 10:00 a.m. and gives chase at a speed of $14$ mph, while the trading vessel manages to flee at $10$ mph. After a three hour chase, the pirate ship's main mast is damaged, reducing its speed to $12$ mph, while the trading vessel continues at the same speed. Determine when the pirate ship will overtake the trading vessel.
A) 2:00 p.m.
B) 2:30 p.m.
C) 3:00 p.m.
D) 3:30 p.m.
E) 4:00 p.m.

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