You estimate that you can do 12 math problems in 45 minutes. How long should it take you to do 20 math problems?

To estimate the time it should take to do 20 math problems, we can use a proportion based on the number of math problems and the time taken.

We know that the time taken to solve 12 math problems is 45 minutes, so our proportion would be:

12 math problems / 45 minutes = 20 math problems / x minutes

To solve for x, we can cross-multiply and then divide:

12 * x = 45 * 20
12x = 900
x = 900 / 12
x ≈ 75

Therefore, it should take approximately 75 minutes to do 20 math problems.