
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 \(B\), the distance between which is 10 km, a car left at 7:00 AM. After traveling \(\frac{2}{3}\) of the way, the car passed point \(C\), from which a cyclist departed at that moment towards point \(A\). As soon as the car arrived at \(B\), a bus immediately left \(B\) in the opposite direction and arrived at \(A\) at 9:00 AM. How many kilometers from \(B\) did the bus catch up with the cyclist, if the cyclist arrived at point \(A\) at 10:00 AM and the speed of each vehicle is constant?

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