
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
John, Mary, and Luke are reading a book. John reads at half the speed of Luke, and Mary reads twice as fast as Luke. If it takes Luke 3 hours to read the book, how many minutes will it take John and Mary to read the same book?

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