
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
Three individuals can fill a tub using different methods. The first with wings, the second with a jug, and the third with an arrow. The one with wings can fill the tub in one sixth of a day. The one with the jug can fill it in 4 hours. The one with the arrow can fill it in half a day. If all three work together, how long will it take to fill the tub completely?

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