
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 motorcyclist departed from point \( A \) towards point \( B \) at the same time a cyclist departed from point \( B \) towards point \( A \). The motorcyclist arrived at point \( B \) 2 hours after meeting the cyclist, while the cyclist arrived at point \( A \) 4.5 hours after meeting the motorcyclist. How many hours were the motorcyclist and cyclist traveling?

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