
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
Given two workers, Delta and Epsilon, can finish a task in 4 hours less than Delta working alone and in 3 hours less than Epsilon working alone, and three workers can finish the task in half the time Delta and Epsilon would need together, determine the time, in hours, Delta and Epsilon together would take to complete the task.

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