
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 car departs from point \(A\) to point \(B\) at a speed of 80 km/h, and a train departs from point \(B\) to point \(C\) at a speed of 50 km/h simultaneously. After 7 hours of travel, they are at the minimum distance from each other. Find the distance between the points if all three points are equidistant from each other and connected by straight roads.

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