
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
Wang Wei walks from location A to location B, while Zhang Ming rides a bicycle from location B to location A. They meet on the road after half an hour. After reaching location A, Zhang Ming immediately returns to location B and catches up with Wang Wei 20 minutes after their first meeting. After arriving at location B, Zhang Ming turns back, and they meet for the third time $\qquad$ minutes after their second meeting.

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