
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 boat set off from pier A downstream along the river. At the same time, a motorboat set off from pier B upstream towards the boat. After some time, they met. At the moment they met, a second boat departed from A downstream and after some time met the motorboat. The distance between the points of the first and second meeting is $\frac{20}{81}$ of the distance $AB$. The currents, the boats, and the motorboat move at constant speeds (the speeds of the boats are the same), and the ratio of the boat's own speed to the motorboat's own speed is $1:5$. What part of the distance $AB$ had the motorboat traveled by the time it met the second boat?

Answer: $\frac{56}{81}$ or $\frac{65}{81}$.

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