
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
From point $A$ to point $B$, which are 10 km apart, a car left at 7:00. After traveling $\frac{2}{3}$ of the way, the car passed point $C$, from which at that moment a cyclist left for point $A$. As soon as the car arrived at $B$, a bus immediately left from there in the opposite direction and arrived at $A$ at 9:00. How many kilometers from $B$ did the bus catch up with the cyclist, if the cyclist arrived at point $A$ at 10:00, and the speed of each participant was constant?


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