
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
Petya was traveling from Petrovo to Nikolaevo, and Kolya was traveling in the opposite direction. They met when Petya had traveled 10 km plus a quarter of the remaining distance to Nikolaevo, and Kolya had traveled 20 km plus a third of the remaining distance to Petrovo. What is the distance between Petrovo and Nikolaevo?

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