
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
The cyclist traveled 60 km from point $A$ to point $B$. On the way back, he traveled the first hour at the same speed, then took a 20-minute break. After resuming, he increased his speed by 4 km/h and therefore spent the same amount of time traveling from $B$ to $A$ as he did from $A$ to $B$. Determine the speed of the cyclist on the path from $A$ to $B$.

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