
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
Two candles are lighted at the same time. The first candle is initially 10 cm tall and burns out in 5 hours, and the second candle is initially 8 cm tall and burns out in 4 hours. Assuming that each candle burns at a constant rate, determine how many hours after being lighted the first candle is three times the height of the second candle.

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