
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
Calculate how long it takes Silenos and Bacchus to finish a barrel individually if the following conditions are given:
1. Together, they would finish the barrel in 2 hours less than Silenos would take alone.
2. Bacchus drinks half as much as Silenos when they drink together.

Given this, determine the time it takes for Silenos to finish the barrel on his own.

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