
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
Cars A and B start from locations A and B simultaneously and travel towards each other. Car A moves at a speed of 40 km/h, and car B moves at a speed of 60 km/h. After reaching locations B and A respectively, they immediately return. On the return trip, the speed of car A increases by half, while the speed of car B remains unchanged. Given that the distance at which the two cars meet for the second time is 50 km, determine the distance between locations A and B.

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