
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
An engineering project was worked on by Person B alone for 4 days, then by Persons A and C together for 6 days, and finally, Person A completed the remaining work in 9 days. Knowing that the work completed by Person B is \(\frac{1}{3}\) of the work completed by Person A, and the work completed by Person C is 2 times the work completed by Person B. Determine the time each of Persons A, B, and C would need to complete the project if working alone.

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