
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 start walking towards each other from two places that are 100 kilometers apart at the same time. A walks at a speed of 6 kilometers per hour, and B walks at a speed of 4 kilometers per hour. A has a dog with him that runs at a speed of 10 kilometers per hour. The dog starts with A, turns around when it meets B, runs back to A when it meets him, and keeps doing this until A and B meet. How many kilometers did this lovely dog run in total?

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