
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
An embankment took $5$ days to build by $60$ workers, each working at an efficiency rate of $100\%$. If for the next project, two shifts are employed where the first shift of $40$ workers has $100\%$ efficiency and the second shift of $20$ workers has only $75\%$ efficiency, how many total days would it have taken to build the same embankment?

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