
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
Two cyclists, X and Y, start at the same time to ride from Huntington to Montauk, a distance of 80 miles. Cyclist X travels 6 miles an hour slower than cyclist Y. Cyclist Y reaches Montauk and immediately turns back, meeting X 16 miles from Montauk. Determine the rate of cyclist X.

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