
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 shuttle back and forth between the ports Mumraj and Zmatek on the same route. They spend negligible time in the ports, immediately turning around and continuing their journey. In the morning, at the same moment, the blue ship sets off from the port Mumraj and the green ship sets off from the port Zmatek. The ships first meet $20 \mathrm{~km}$ from the port Mumraj, and after some time, they meet again directly at this port. By then, the blue ship has managed to travel the route between the ports four times, while the green ship has only done so three times.

How long is the route between the ports Mumraj and Zmatek?

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