The first step is to convert the hours to minutes, this way, it will be easier to solve this question (Remember 1 hour equals 60 minutes).
[tex]3h\cdot\frac{60\min}{1h}=180\min [/tex]Now, use this time to find the amount of hot dogs she would eat at the rate of 2 hot dogs in 20 minutes.
[tex]180\min \cdot\frac{2hotdogs}{20\min}=18hotdogs[/tex]She would eat 18 hot dogs in 3 hours.