
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 starts traveling from point A to point B. Persons B and C start traveling from point B to point A. After person A has traveled 50 kilometers, persons B and C start traveling from point B. Person A and person B meet at point C, and person A and person C meet at point D. It is known that the speed of person A is three times the speed of person C, and 1.5 times the speed of person B. The distance between points C and D is 12 kilometers. What is the distance between points A and B in kilometers?

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