
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
Andrey and Seva are going to visit Borya. Andrey is at point $A$, and Borya is at point $B$, 30 km from point $A$ along a straight highway. Seva is at point $C$, exactly halfway between $A$ and $B$. The friends decide to leave at the same time: Andrey on a bicycle and Seva on foot. Andrey will leave the bicycle at an agreed location for Seva to use, and Andrey will walk the remainder of the journey. On the bicycle, the boys travel at a speed of 20 km/hr, and on foot, they travel at a speed of 5 km/hr. Where should the bicycle be left so that the friends can get to Borya's place together as soon as possible?

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