Answer: He needs 20 hours for making 33 kg of meat.
Step-by-step explanation:
Since, if a a thing in quantity [tex]x_1[/tex] takes time [tex]t_1[/tex] and that thing in quantity [tex]x_2[/tex] takes time [tex]t_2[/tex]
Then, we know that,
[tex]x_1\times t_1=x_2\times t_2[/tex]
[tex]\frac{x_1}{x_2} = \frac{t_2}{t_1}[/tex]
Here, [tex]x_1=55[/tex] kg, [tex]t_1=12[/tex] hours, [tex]x_2= 33[/tex] kg and [tex]t_2=?[/tex]
Thus, [tex]\frac{55}{33} = \frac{t_2}{12}[/tex]
⇒[tex]t_2=\frac{55}{33}\times 12[/tex]
⇒[tex]t_2=\frac{5}{3}\times 12[/tex]
⇒[tex]t_2=20[/tex]
Thus, he needs 20 hours to make 33 kg of meat.
