
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 simultaneously started riding towards each other from points \( A \) and \( B \). They rode at constant speeds. After meeting, the first cyclist traveled to point \( B \) in 40 minutes, and the second cyclist traveled to point \( A \) in one and a half hours. Find the time from the start of the movement to the meeting point and the ratio of the cyclists' speeds.

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