
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 types of candles have the same length but are made of different materials. One burns completely in three hours, and the other in four hours, both burning at a uniform rate. How many minutes after 1 PM should the two candles be lit simultaneously so that at 4 PM, the length of one is double the length of the other?
(a) 24
(b) 28
(c) 36
(d) 40
(e) 48

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