
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
In a ski race, Petya and Vasya started at the same time. Vasya ran the entire race at a constant speed of 12 km/h. Petya ran the first half of the distance at a speed of 9 km/h, falling behind Vasya. What should be Petya's speed on the second half of the distance in order to catch up with Vasya and finish simultaneously with him? Provide the answer in km/h.

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