
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
From points \( A \) and \( B \) two cyclists set out towards each other simultaneously. They were riding at constant speeds. After meeting each other, the first cyclist rode for 40 minutes to point \( B \) and the second cyclist rode for one and a half hours to point \( A \). Find the time from the start of the ride until their meeting and the ratio of the cyclists' speeds.

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