Final answer:
Shannon could install 1/6 of the tile floor in one hour.
Step-by-step explanation:
To find the value or part of the tile floor that Shannon could install in one hour, we can use the formula:
Part of job done in one hour = 1 / (Time taken to complete the job together)
Shannon and Sean can complete the job together in 6 hours, so:
Part of job done in one hour = 1 / 6
Hence, the value or part of the tile floor that Shannon could install in one hour is 1/6 (option B).