
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 has a specific density when filled with a particular fluid. Valves $D$, $E$, and $F$ fill the tank with this fluid at constant rates. When all three valves are open, it takes 1.25 hours to achieve the desired density. When only $D$ and $F$ are open, it takes 2 hours, and with only $E$ and $F$, it takes 3 hours. The time required to achieve the desired density with valves $D$ and $E$ alone need to be found.
**A)** $\frac{24}{23}$ hours **B)** $\frac{27}{23}$ hours **C)** $\frac{30}{23}$ hours **D)** $\frac{33}{23}$ hours **E)** $\frac{35}{23}$ hours

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