
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 are moving in straight lines at a constant speed towards the same port. Initially, the positions of the ships and the port form an equilateral triangle. After the second ship has traveled 80 km, a right triangle is formed. When the first ship arrives at the port, the second ship still has 120 km to go. Find the initial distance between the ships.

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