
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
Four workers dug a trench in 6 hours. If the first worker had worked twice as fast and the second worker had worked twice as slow, they would have dug it in the same amount of time. If the first worker had worked twice as slow and the second worker had worked twice as fast, they would have dug the trench in 4 hours. How long will it take the first three workers to dig the trench?

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