
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 naval destroyer locates a cargo ship 20 miles ahead at 9:00 a.m. The destroyer moves at a speed of 16 mph trying to intercept the cargo ship, which is moving at a speed of 10 mph. After 3 hours, the destroyer encounters rough seas and its speed reduces to 13 mph, while the cargo ship's speed remains unchanged. The cargo ship will be intercepted at:
A) 12:20 p.m.
B) 12:40 p.m.
C) 1:00 p.m.
D) 1:20 p.m.

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