
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
To create a green school, students in the science club designed a recycling system to use the water from rinsing vegetables in the school cafeteria to water the plants. The system requires 3 hours to fill the tank if only the inlet pipe is opened, and 4 hours to empty the full tank if only the outlet pipe is opened. After building the tank, it was found to have a leak. If the inlet and outlet pipes are opened simultaneously, it takes 14 hours to fill the tank. Determine how many hours it will take for the water to completely leak out if the inlet and outlet pipes are closed after the tank is filled.

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