
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
Brothers Petya and Vasya decided to make a funny video and upload it to the internet. First, they filmed each of them walking from home to school; Vasya walked for 8 minutes, and Petya walked for 5 minutes. Then they came home and started editing the video on the computer: they started Vasya's video from the beginning and Petya's video from the end (in reverse) simultaneously; at the moment when the brothers met at the same point on the path in both videos, they spliced Petya's video into Vasya's. The result was a video where Vasya walks from home to school, and then at some point, suddenly transforms into Petya and walks home backward. What is the duration of the resulting video?



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