To find the total time Karen will take to complete her homework, we need to find the time it takes her to complete each individual task and add them together.
Reading:
Karen can read 10 pages in 30 minutes, so she can read 1 page in 30/10 = 3 minutes.
Therefore, it will take her 3 minutes x 30 pages = 90 minutes to complete the reading.
Math problems:
Karen can complete 15 math problems in 30 minutes, so she can complete 1 math problem in 30/15 = 2 minutes.
Therefore, it will take her 2 minutes x 45 problems = 90 minutes to complete the math problems.
The total time it will take her to do her homework is 90 minutes for reading + 90 minutes for math problems = <<90+90=180>>180 minutes.