
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
Two cars, A and B, depart at the same time from locations A and B, traveling toward each other. Car A travels at 40 km/h, while Car B travels at 60 km/h. Upon reaching locations B and A respectively, both cars immediately return. While returning, Car A's speed increases by half, while Car B's speed remains unchanged. It is known that the distance of the two cars at their second meeting point is 50 km. Determine the distance between locations A and B in kilometers.

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