
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, initially the same length, burn down at different consistent rates. One candle burns completely in $5$ hours, and the other in $6$ hours. At what time should the candles be lit such that at 6 P.M., one candle's stub is three times the length of the other's?

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