
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
Robots Robert and Hubert assemble and disassemble coffee grinders. Each of them assembles a coffee grinder four times faster than the other disassembles it. When they arrived at the workshop in the morning, some coffee grinders were already assembled.

At 9:00 AM, Hubert started assembling and Robert started disassembling, and exactly at 12:00 PM, Hubert finished assembling a coffee grinder and Robert finished disassembling another. In total, 27 coffee grinders were added during this shift.

At 1:00 PM, Robert started assembling and Hubert started disassembling, and exactly at 7:00 PM, Robert finished assembling the last coffee grinder and Hubert finished disassembling another. In total, 120 coffee grinders were added during this shift.

How long does it take for Hubert to assemble a coffee grinder? How long does it take for Robert to assemble a coffee grinder?

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