
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 workers, Delta, Epsilon, and Zeta, can complete a job when working together in 4 hours less than Delta working alone, and in 3.5 hours less than Epsilon working alone. Epsilon and Zeta working together can complete the job in half the time that Epsilon takes working alone. Find the hours, \( k \), for Delta and Zeta to finish the job together.

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