
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
A reservoir has two inlet pipes, Pipe A and Pipe C, and two outlet pipes, Pipe B and Pipe D. To fill the reservoir, it takes 3 hours using only Pipe A and 5 hours using only Pipe C. To empty a full reservoir, it takes 4 hours using only Pipe B and 6 hours using only Pipe D. Currently, the reservoir is $\frac{1}{6}$ full. If the pipes are operated in the following sequence: A, B, C, D, with each pipe running for one hour each day in a cycle, after how much time will the reservoir start overflowing?

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