
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
Person A and Person B are 22.5 kilometers apart, moving towards each other at speeds of 2.5 kilometers per hour and 5 kilometers per hour, respectively. At the same time, a dog with Person A runs towards Person B at a speed of 7.5 kilometers per hour. Upon reaching Person B, the dog immediately turns around and runs back to Person A, and upon reaching Person A, it runs back to Person B, and so on, until Person A and Person B meet. Calculate the distance the dog has traveled.

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