Logical snail along a straight line A snail crawled along a straight line for 6 minutes while separate people watched its progress. Each of these people watched snail for  1 minute and during this minute the snail rolled exactly by one foot. It is known that the snail was always watched by at least one person. What is the maximum possible distance the snail could crawl during the 6 minutes?
I tried thinking about sum of overlapped time which turns out to be total number of people - 6. But it was of no help. I think the answer is 6 feet and tried to prove by contradiction but couldn't.

Assuming that there is someone watching the snail for the first minute of the period, and someone watching the snail for the last minute, the maximum snail movement is $10$ feet.
The pattern for this is that the snail moves one foot to start with, then stops for a while (with two people watching the pause), then moves two feet - in the middle of which the watcher changes, and so on through the time period. The final minute can only see one foot of movement by the assumption that there is a watcher for that whole period. (If you allow an initial and final watcher to count their minute of watching outside the six minute period, you can squeeze in two more feet of movement, but that's not how I read the setup).
To minimize the snail speed during the dashes, you can allow $12$ seconds for each foot travelled (each green block in the image is a foot of travel), with the pauses lasting 48 seconds.

