
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 and B are 22.5 kilometers apart, moving towards each other at speeds of 2.5 kilometers per hour and 5 kilometers per hour, respectively. A's dog runs towards B at a speed of 7.5 kilometers per hour. Upon meeting B, the dog immediately turns back towards A, and upon meeting A, it turns back towards B, continuing this pattern until A and B meet. The distance traveled by the dog is     .

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