
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
Two places A and B are 66 kilometers apart. Person A and Person C start walking from A to B, and Person B starts walking from B to A. Person A walks 12 km per hour, Person B walks 10 km per hour, and Person C walks 8 km per hour. If all three start at the same time, after how many hours will Person B be exactly at the midpoint of the distance between Person A and Person C?

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