
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
The lifespan of the front and rear tires of a bicycle are different. Generally, the same new tire has a lifespan of 11,000 kilometers for the front tire and 9,000 kilometers for the rear tire. In order to make the front and rear tires purchased at the same time wear out simultaneously, and to use them for as long as possible, the tires should be swapped after traveling a certain distance. At what distance should they be swapped?

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