
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
Given that each valve X, Y, and Z, when open, releases water into a tank at its own constant rate, and that with all three valves open, the tank fills in 2 hours, with only valves X and Z open it takes 4 hours, and with only valves Y and Z open it takes 3 hours, determine the time required with only valves X and Y open.

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