
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
We are traveling by car from Budapest to Košice at a constant speed. We see a distance marker with a two-digit number. After half an hour, we reach a marker where the digits are reversed. Another 30 minutes later, we see a marker where there is a zero along with the two previous digits. What is our speed?

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