He his working at a faster rate than grading 36 homework assignment in 30 minutes.
Rate and proportions
Rate and proportions is the comparison of the rate and determining the relationship between the numbers.
In the given question, to determine if the teacher is faster or slower, we need to know the rate at which he his grading the assignment in each minute.
By doing so;
In the first case; If he grades 25 homework in 20 minutes, then in 1 minute, he will grade:
= 1.25 homework
In the second case; if he grades 36 homework in 30 minutes, then in 1 minute, he will grade
= 1.2 homework.
Therefore, we can conclude that he his working at a faster rate than grading 36 homework assignment in 30 minutes.