
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 all four valves are open, the tank fills in 1.2 hours, and with valves A, B, and D open, it takes 2 hours. With valves A, C, and D open it takes 1.5 hours. Given the rate at which valve D releases water into the tank is half the rate of valve C, determine how many hours it will take to fill the tank with only valves A, B, and C open.

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