
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
It takes Alice $40$ minutes to clean her room. It takes Bob $\frac{1}{4}$ of that amount of time and Carol twice the time it takes Bob to clean their respective rooms. How many minutes does it take Bob and Carol to clean their rooms?

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