
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
$A$ and $B$ ran around a circular path with constant speeds. They started from the same place and at the same time in opposite directions. After their first meeting, $B$ took 1 minute to go back to the starting place. If $A$ and $B$ need 6 minutes and $c$ minutes respectively to complete one round of the path, find the value of $c$.

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