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
If Karen can read 10 pages and complete 15 math problems in 30 minutes, then she can read 30 pages and complete 45 math problems in (30/10) * 30 = <<(30/10) * 30=90>>90 minutes.
Therefore, it will take Karen 90 minutes to do her homework. Answer: \boxed{90}.
To find out how long it will take Karen to do her homework, we need to calculate the time it takes for her to complete one page of reading and one math problem.
Karen can read 10 pages in 30 minutes, so we can find the time it takes for her to read one page by dividing 30 minutes by 10 pages:
Time to read one page = 30 minutes / 10 pages = 3 minutes per page
Similarly, Karen can complete 15 math problems in 30 minutes, so we can find the time it takes for her to complete one math problem by dividing 30 minutes by 15 math problems:
Time to complete one math problem = 30 minutes / 15 math problems = 2 minutes per math problem
Now, to find out how long it will take Karen to do her homework, we need to calculate the total time for reading and math problems separately, and then add them together.
Time for reading = 30 pages * 3 minutes per page = 90 minutes
Time for math problems = 45 math problems * 2 minutes per math problem = 90 minutes
Therefore, it will take Karen a total of 90 minutes for reading and 90 minutes for math problems, so the total time to do her homework is:
Total time = Time for reading + Time for math problems = 90 minutes + 90 minutes = 180 minutes
Hence, it will take Karen 180 minutes to do her homework.
To determine how long it will take Karen to complete her homework, we first need to find out how long it takes her to complete one page of reading and one math problem.
Given that Karen can read 10 pages and complete 15 math problems in 30 minutes, we can calculate her reading speed and math problem-solving speed by dividing the total time (30 minutes) by the number of pages read (10) and math problems solved (15) respectively.
Reading speed: 30 minutes / 10 pages = 3 minutes per page
Math problem-solving speed: 30 minutes / 15 problems = 2 minutes per problem
Now that we have the time it takes for Karen to complete one page of reading and one math problem, we can calculate the total time it will take for her to complete her homework.
Number of pages to read: 30
Number of math problems to solve: 45
Total time for reading: 3 minutes per page * 30 pages = 90 minutes
Total time for math problems: 2 minutes per problem * 45 problems = 90 minutes
Adding the total time for reading and the total time for math problems gives us the total time it will take Karen to complete her homework.
Total time for homework: 90 minutes (reading) + 90 minutes (math problems) = 180 minutes
Therefore, it will take Karen 180 minutes (or 3 hours) to complete her homework.