
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 the task of setting several books is assigned to one of three typesetters, the first typesetter will complete the work 10 hours faster, and the third typesetter 6 hours faster than the second one. If one of the ordered books is set by the first typesetter and another book is set simultaneously by the second typesetter, then in 9 hours they will set as many pages as the second and third typesetters working together would set in 10 hours under the same conditions. How much time will it take each typesetter to set all the ordered books when working separately?

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