Karen can read 10 pages and complete 15 math problems in 30 minutes. How long will it take to do her schoolwork if she has 30 pages to read and 45 math problems to complete?
Karen can read 1 page in 30/10 = <<1=1>>1.5 minutes.
She can complete 1 math problem in 30/15 = <<1=1>>1 minute.
It will take her 1.5 x 30 = <<1.5*30=45>>45 minutes to read 30 pages.
It will take her 1 x 45= <<1*45=45>>45 minutes to complete 45 math problems.
It will take Karen a total of 45 + 45 = <<45+45=90>>90 minutes to do her schoolwork. Answer: \boxed{90}.
To find out how long it will take Karen to do her schoolwork, we need to calculate the time it takes for her to complete one page of reading and one math problem.
First, we find the time it takes for Karen to complete one page of reading:
Karen can read 10 pages in 30 minutes, so for each page, she takes 30 minutes / 10 pages = 3 minutes.
Second, we find the time it takes for Karen to complete one math problem:
Karen can complete 15 math problems in 30 minutes, so for each math problem, she takes 30 minutes / 15 problems = 2 minutes.
Next, we calculate the total time it takes Karen to do her schoolwork:
For reading 30 pages, it will take 30 pages * 3 minutes per page = 90 minutes.
For completing 45 math problems, it will take 45 problems * 2 minutes per problem = 90 minutes.
Finally, we add the time it takes for reading and math problems together:
Total time = 90 minutes for reading + 90 minutes for math problems = 180 minutes.
Therefore, it will take Karen 180 minutes to do her schoolwork.
To find out how long it will take Karen to do her schoolwork, we can start by calculating how many pages she can read and math problems she can complete in 30 minutes.
Karen can read 10 pages and complete 15 math problems in 30 minutes.
Next, we can calculate how many pages Karen can read and math problems she can complete in 1 minute. To do this, we can divide the number of pages and math problems done in 30 minutes by 30.
Number of pages read in 1 minute: 10 pages / 30 minutes = 1/3 pages/minute
Number of math problems solved in 1 minute: 15 problems / 30 minutes = 1/2 problems/minute
We can now use these rates to calculate how long it will take Karen to complete 30 pages and 45 math problems.
Number of minutes to complete 30 pages: 30 pages / (1/3 pages/minute) = 30 * (3/1) = 90 minutes
Number of minutes to complete 45 math problems: 45 problems / (1/2 problems/minute) = 45 * (2/1) = 90 minutes
Therefore, it will take Karen 90 minutes to complete her schoolwork if she has 30 pages to read and 45 math problems to complete.