
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
A traveler was riding a bus and saw a two-digit number on a kilometer marker. He fell asleep and woke up an hour later, seeing a three-digit number on a kilometer marker, where the first digit was the same as the second digit of the number seen an hour ago, the second digit was zero, and the third digit was the same as the first digit of the number seen an hour ago. Two hours later, he looked out the window and saw a kilometer marker, where the number was the same as the one seen two hours prior, but with the zero replaced by another digit. Determine the speed of the bus (assuming it was moving at a constant speed).

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