
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 points A and B, a motorcyclist and a cyclist set off towards each other at constant speeds simultaneously. Twenty minutes after the start, the motorcyclist was 2 km closer to point B than the midpoint of line AB. Thirty minutes after the start, the cyclist was 3 km closer to point B than the midpoint of line AB. After how many minutes from the start did the motorcyclist and the cyclist meet?

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