
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
Two workers, \( A \) and \( B \), completed a task in the following manner. First, \( A \) worked alone for \(\frac{2}{3}\) of the time it would take \( B \) to complete the entire task alone. Then \( B \) took over and finished the task. This method took 2 hours longer than if they had worked together and completed the task jointly. If they had worked together in this manner, \( A \) would have done half of the work that he actually left for \( B \) to do alone. How many hours would it take for \( A \) and \( B \) to each complete the task alone?

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