
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
Petya and Vasya decided to make a funny video and upload it to the internet. First, they recorded each of them walking from home to school - Vasya took 8 minutes, and Petya took 5 minutes. Then they came home and started editing the video on the computer. They simultaneously played Vasya’s video from the beginning and Petya’s video from the end (in reverse direction); at the moment when both brothers were at the same point on the path, they merged Petya’s video with Vasya’s. The resulting video shows Vasya walking from home to school, and then at some point suddenly transforming into Petya and walking backward towards home. What is the duration of the resulting video?

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