
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
At the moment when the butcher sent his son for bread to the bakery, the baker sent his son for meat to the butcher. The two boys walk towards each other at a constant speed. When they met, the butcher's son had walked 500 meters more than the baker's son; moreover, the butcher's son had 10 minutes left to his destination, while the baker's son had $-22.5$ minutes left. 

What is the distance between the bakery and the butcher shop in this small village?

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