Karen can read 10 pages and complete 15 math problems in 30 minutes. How long will it take her to do her homework if she has 30 pages to read and 45 math problems to complete? Your answer should refer to the amount of time in minutes.

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Karen can read 10 pages and complete 15 math problems in 30 minutes. This means she can read 1 page in 30/10 = 3 minutes.

Also, she can complete 1 math problem in 30/15 = 2 minutes.
Therefore, Karen will need 30 * 3 = <<30*3=90>>90 minutes to read all 30 pages.
Additionally, it will take her 45 * 2 = <<45*2=90>>90 minutes to complete all 45 math problems.
So in total, it will take Karen 90 + 90 = <<90+90=180>>180 minutes to do her homework. Answer: \boxed{180}.

To find out how long it will take Karen to do her homework, we need to determine how long it takes her to complete one page of reading and one math problem.

First, let's calculate Karen's reading speed per page. We know that Karen can read 10 pages in 30 minutes. So, Karen can read 1 page in (30 minutes / 10 pages) = 3 minutes.

Next, let's calculate Karen's speed for completing math problems. We know that Karen can complete 15 math problems in 30 minutes. So, Karen can complete 1 math problem in (30 minutes / 15 problems) = 2 minutes.

Now, let's determine the total time it will take her to complete her homework. Karen has 30 pages to read, and since she can read 1 page in 3 minutes, it will take her (30 pages * 3 minutes per page) = 90 minutes to complete the reading.

Karen also has 45 math problems to complete, and since she can complete 1 problem in 2 minutes, it will take her (45 problems * 2 minutes per problem) = 90 minutes to complete the math.

Finally, we add the time it takes Karen to complete the reading and math to find the total time for her homework: 90 minutes for reading + 90 minutes for math = 180 minutes.

Therefore, it will take Karen 180 minutes to do her homework.

First, let's determine how long it takes Karen to complete 1 page of reading and 1 math problem.

Karen can complete 10 pages and 15 math problems in 30 minutes, so:
1 page of reading takes her 30 minutes / 10 pages = 3 minutes.
1 math problem takes her 30 minutes / 15 math problems = 2 minutes.

Next, let's calculate how long it will take Karen to complete all of her reading and math problems.

Karen needs to read 30 pages, so it will take her 30 pages * 3 minutes per page = 90 minutes to complete her reading.

Karen needs to complete 45 math problems, so it will take her 45 math problems * 2 minutes per problem = 90 minutes to complete the math problems.

Therefore, it will take Karen a total of 90 minutes + 90 minutes = 180 minutes to complete her homework.