
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
A construction company is building a tunnel. After completing $\frac{1}{3}$ of the tunnel at the original speed, they use new equipment, resulting in a $20\%$ increase in construction speed and daily working hours reduced to $80\%$ of the original. The entire tunnel is completed in 185 days. If the new equipment had not been used, how many days would it take to complete the tunnel at the original speed?

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