
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 7:00 to 8:00, the speed of all vehicles in a certain city is halved as it is a peak period. Each morning at 6:50, persons A and B set off from locations A and B, respectively, heading towards each other and meet at a point 24 kilometers from A. If B starts 20 minutes earlier, they will meet at a point 20 kilometers from A. If A starts 20 minutes later, they will meet exactly at the midpoint of A and B. How far apart are locations A and B in kilometers?

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