
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 large tank can be filled by pipes A, B, or C. Pipes A and B together take 5 hours to fill the tank. Pipes A and C together take 8 hours to fill the tank. Pipes B and C together would take 10 hours to fill the tank. The volume of the tank is 160 cubic meters. How many hours does it take pipes A, B, and C working together to fill the tank? Express your answer as a simplified fraction.

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