Final answer:
Howard takes 2⅓ minutes to solve each math problem, and thus would require 80 minutes to solve 30 problems at the same speed.
Step-by-step explanation:
Howard solved 6 math problems in 16 minutes. To find out how much time he would spend solving 30 problems at the same speed, you first need to determine the rate at which Howard is solving the problems. This is done by dividing the total minutes by the number of problems:
16 minutes ÷ 6 problems = 2⅓ minutes per problem.
Now, to find out the time for 30 problems, you multiply the rate by the number of problems:
2⅓ minutes per problem x 30 problems = 80 minutes.
So, at the same speed, Howard would spend 80 minutes solving 30 problems.