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. (1 point)
[__] minutes
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.
To find the amount of time 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.
From the given information, we know that Karen can read 10 pages and complete 15 math problems in 30 minutes.
Let's calculate the time it takes for Karen to complete one page of reading:
30 minutes / 10 pages = 3 minutes per page
Next, let's calculate 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 it takes for Karen to do one page of reading and one math problem, let's calculate the total time it will take for her to do 30 pages of reading and 45 math problems:
Time for reading 30 pages = 3 minutes per page * 30 pages = 90 minutes
Time for completing 45 math problems = 2 minutes per math problem * 45 problems = 90 minutes
Therefore, it will take Karen 90 + 90 = 180 minutes to do her homework.
So the answer is [180] minutes.
To solve this problem, we can set up a proportion to find the amount of time it will take Karen to complete her homework.
First, let's find Karen's reading rate. We know that Karen can read 10 pages in 30 minutes. So, her reading rate would be 10 pages / 30 minutes, or 1/3 pages per minute.
Next, let's find Karen's math problem-solving rate. We know that Karen can complete 15 math problems in 30 minutes. So, her math problem-solving rate would be 15 problems / 30 minutes, or 1/2 problems per minute.
Now, let's use these rates to find out how long it will take Karen to do her homework.
Karen has 30 pages to read. Since her reading rate is 1/3 pages per minute, it will take her 30 pages * (1 minute / 1/3 pages) = 90 minutes to complete her reading.
Karen has 45 math problems to complete. Since her math problem-solving rate is 1/2 problems per minute, it will take her 45 problems * (1 minute / 1/2 problems) = 90 minutes to complete her math problems.
Therefore, it will take Karen 90 minutes to do her homework.