
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
Each valve $A$, $B$, and $C$, when open, releases water into a tank at its own constant rate. With all three valves open, the tank fills in 2 hours, with only valves $A$ and $C$ open it takes 3 hours, and with only valves $B$ and $C$ open it takes 4 hours. Determine the number of hours required with only valves $A$ and $B$ open.
A) 2.0 hours
B) 2.2 hours
C) 2.4 hours
D) 2.6 hours
E) 2.8 hours

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