
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
When valves A, B, and C are opened, they fill a pool at their respective rates. If all three valves are opened simultaneously, the pool can be filled in 1 hour. If only valves A and C are opened, it takes 1.5 hours to fill the pool. If only valves B and C are opened, it takes 2 hours to fill the pool. How many hours does it take to fill the pool if only valves A and B are opened?

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