
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
Mary can mow a lawn in three hours, and Tom can mow the same lawn in six hours. If Tom works for 3 hours alone, then Mary joins him, and they finish the lawn together, how long does it take for them to finish mowing the lawn together?

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