
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 of different initial heights are lighted at the same time. Candle A has an initial height of 12 cm and is consumed entirely in 5 hours. Candle B has an initial height of 15 cm and is consumed entirely in 4 hours. Assuming each candle burns at a constant rate, find how many hours after being lighted that Candle A is three times the height of Candle B.

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