We can pose the question in the following way:
[tex]\frac{7}{20}=\frac{x}{60}[/tex]Because we have two directly proportional amounts and the ratio is constant. Then, solving the latter proportion, we have:
[tex]x=\frac{7\cdot60}{20}\Rightarrow x=7\cdot(\frac{60}{20})\Rightarrow x=7\cdot3\Rightarrow x=21[/tex]Then, Corey will spend 21 minutes on rides if he plans to spend 60 minutes in lines (according to the given proportion).