
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 tank can be filled by any of three pipes X, Y, or Z. Pipes X and Y together take 3 hours to fill the tank. Pipes X and Z together take 4 hours to fill the tank. Pipes Y and Z together take 5 hours to fill the tank. How many hours does it take pipes X, Y, and Z working together to fill the tank? Express your answer as a decimal to the nearest hundredth.

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