
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 motorcyclist departed from point $A$ with an initial speed of 90 km/h, uniformly increasing the speed (i.e., the speed increases by the same amount over equal time intervals). After three hours, the motorcyclist arrived at point $B$, passing through $C$ along the way. Then, the motorcyclist turned around and, still uniformly increasing speed, set off back. Two hours later, he passed by point $C$ again at a speed of 110 km/h and continued on to $A$. Find the distance between points $A$ and $C$.

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