
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 \( M \) and \( K \), which are 70 km apart, a bus and a cyclist set out towards each other simultaneously. They met after 1 hour and 24 minutes. Continuing at the same speed, the bus arrived at \( K \) and left for the return journey after a 20-minute stop. Find the speeds of the bus and the cyclist if the bus overtook the cyclist 2 hours and 41 minutes after their first meeting.

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