
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 hunting dog spots a fox 10 meters ahead and immediately starts chasing it. As soon as the fox starts running away, the dog catches up by 10 meters for every meter the fox runs. If the hunting dog and the fox move along the same path, how many meters in total will the hunting dog have traveled when it catches the fox? (Express the answer as a simplified fraction)

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