
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
Five people are doing some work. The first, second, and third, working together, complete the work in an hour, just like the second, fourth, and fifth do the work in an hour. The first, working with the fifth, and the third, working with the fourth, complete the work in 2 hours. How long will it take for all five people to complete the work together? (15 points)

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