
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
Car $A$ departs from Station $\alpha$ towards Station $\beta$, simultaneously, cars $B$ and $C$ depart from Station $\beta$ towards Station $\alpha$ and travel towards $A$. Car $A$ meets car $B$ and then meets car $C$ after 20 minutes. Given that the speeds of cars $A$, $B$, and $C$ are $90 \text{ km/h}$, $80 \text{ km/h}$, and $60 \text{ km/h}$ respectively, what is the distance between stations $\alpha$ and $\beta$? $\qquad$ (in $\text{km}$).

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