
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 typists need to retype a manuscript consisting of three chapters, where the first chapter is twice as short as the second and three times longer than the third. Working together, the typists retyped the first chapter in 3 hours and 36 minutes. The second chapter was retyped in 8 hours, with the first typist working alone for 2 hours and the rest of the time they worked together. How much time will the second typist need to retype the third chapter alone?

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