Respuesta :
Answer: The answer is [tex]1\dfrac{1}{12}~\textup{hours}.[/tex]
Step-by-step explanation: Given that the penguin nursery is open two times in a day, where the number of hours open at the noon and afternoon are respectively given by
[tex]t_n=\dfrac{2}{3}~\textup{hour},\\\\t_a=\dfrac{5}{12}~\textup{hour}.[/tex]
Therefore, the total number of hours 't' penguin nursery open every day is given by
[tex]t=t_n+t_a=\dfrac{2}{3}+\dfrac{5}{12}=\dfrac{8+5}{12}=\dfrac{13}{12}=1\dfrac{1}{12}~\textup{hour}.[/tex]
Thus, the answer is
[tex]1\dfrac{1}{12}~\textup{hours}.[/tex]