
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
Two "mechanical moles" with different power efficiencies would have dug a tunnel in 5 days if they worked simultaneously from opposite ends. In reality, however, both moles were used consecutively from the same side of the tunnel: the first dug $1 / 3$ of the tunnel, while the second dug the remaining $2 / 3$ of its length. The entire job took 10 days. How many days would each mole take to dig the tunnel if they worked alone?

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