
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
How many hours can each of the three workers complete the job if the productivity of the third worker is equal to the half-sum of the productivities of the first and second workers? It is known that if the third worker worked for 48 hours, the first worker would need 10 hours and the second worker 15 hours to complete the job.

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