Final answer:
(a) February 15th and 20th. Bob will water his plants and feed his turtle on February 15th and 20th.
Step-by-step explanation:
To determine the days on which Bob will both water his plants and feed his turtle, we need to find the common multiples of 3 and 5 within the month of February. The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27. The multiples of 5 are: 5, 10, 15, 20, 25. The common multiples are 15 and 30. Therefore, Bob will water his plants and feed his turtle on February 15th and 20th. So, option (a) February 15th and 20th is correct.