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 road and 45 math problems to complete? Your answer should refer to the amount of time in minutes (1 point)
If Karen can read 10 pages and complete 15 math problems in 30 minutes, then in the same amount of time, she can complete 30/10 * 15 = <<30/10*15=45>>45 math problems.
Similarly, in the same amount of time, Karen can read 45/15 * 10 = <<45/15*10=30>>30 pages.
Therefore, it will take Karen 30 minutes to do her homework. Answer: \boxed{30}.
To find out how long it will take Karen to do her homework, we can compare the amount of work she can complete in a given time.
In 30 minutes, Karen can read 10 pages and complete 15 math problems. This means in 30 minutes, she completes (10 + 15) = 25 units of work.
Now, let's find the ratio of work to time. We divide the total work by the time taken: 25 units / 30 minutes = 5/6 units per minute.
To find out how long it will take Karen to complete 30 pages and 45 math problems, we multiply the given work by the ratio: (30 pages + 45 math problems) * (6/5 units per minute) = 75 units.
Therefore, it will take Karen 75 minutes to do her homework.
To find out how long it will take Karen to do her homework, we can start by determining the amount of time she takes to complete one page of reading and one math problem. Then we can use these values to calculate the total time needed to complete all the homework.
From the given information, Karen can read 10 pages and complete 15 math problems in 30 minutes.
First, let's find the time it takes for Karen to complete one page of reading: 30 minutes / 10 pages = 3 minutes per page.
Next, let's determine the time it takes for Karen to complete one math problem: 30 minutes / 15 math problems = 2 minutes per math problem.
Now that we know the time Karen needs for one page and one math problem, we can calculate the total time needed for her homework.
To complete 30 pages of reading, Karen will require: 30 pages * 3 minutes per page = 90 minutes.
To complete 45 math problems, Karen will need: 45 math problems * 2 minutes per math problem = 90 minutes.
Finally, to determine the total time required for Karen to do her homework, we add the time needed for reading and the time needed for math problems: 90 minutes + 90 minutes = 180 minutes.
Therefore, it will take Karen 180 minutes to complete her homework.