
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

A person and his faithful dog started moving simultaneously at time $t_{0}=0$ minutes from point A along the perimeter of a block. The person moved at a constant speed clockwise, while the dog ran at a constant speed counterclockwise. It is known that they met for the first time in point B after $t_{1}=1$ minute from the start. Assuming they continued moving in the same direction and at the same speed, determine at what time they will next be at point B at the same time. Given $AB=CD=100$ meters and $BC=AD=300$ meters.

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