
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
Two ships sail on the sea with constant speeds and fixed directions. At 9:00, the distance between them was 20 miles; at 9:35, it was 15 miles; and at 9:55, it was 13 miles. At what moment were the ships the smallest distance from each other, and what was that distance?

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