
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
Given two candles of the same height are lit at the same time, and the first candle burns out in 4 hours and the second candle burns out in 3 hours. Assuming the candles burn at a constant rate, calculate the time elapsed since they were lit when the height of the first candle is twice the height of the second candle.

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