
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
If two people, A and B, drink a can of coffee together, it takes 10 days to finish. If A drinks it alone, it takes 12 days to finish. If a pound of tea is used for brewing tea and A and B drink it together, it takes 12 days to finish, and if B drinks it alone, it takes 20 days to finish. Assuming that A will not drink coffee if there is tea, and B will not drink tea if there is coffee, then how many days will it take for A and B together to finish a pound of tea and a can of coffee?

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