
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
Andy can paint a room in 4 hours, whereas Bob can do the same task in 6 hours. They decide to paint the room together but take a two-hour break for lunch. Let \( t \) be the total time, in hours, they need to complete the job together, including the lunch. Which of the following equations is satisfied by \( t \)?
A) \( \left(\frac{5}{12}\right)t = 1 \)
B) \( \left(\frac{5}{12}\right)(t-2) = 1 \)
C) \( \left(\frac{5}{12}\right)(t+2) = 1 \)
D) \( \left(\frac{1}{4} + \frac{1}{6}\right)(t+2) = 1 \)

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