
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 cyclists start at the same time, one from point A heading to point B, and the other from point B heading to point A. They meet at point C. The first cyclist arrives in city B 3 hours after meeting, while the second cyclist arrives in city A 12 hours after the meeting. Determine the distance $\mathrm{AC}$ if the distance between cities A and B is 150 km.

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