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
its 90 minutes
yw
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In 30 minutes, Karen can read 10 pages and complete 15 math problems.
So, in 1 minute, Karen can read 10/30 = 1/3 of a page and complete 15/30 = 1/2 of a math problem.
Therefore, to read 30 pages, it will take Karen 30/(1/3) = <<30/(1/3)=90>>90 minutes.
And to complete 45 math problems, it will take Karen 45/(1/2) = <<45/(1/2)=90>>90 minutes.
Therefore, it will take Karen a total of 90 + 90 = <<90+90=180>>180 minutes to do her homework. Answer: \boxed{180}.
its 90 minutes
To find out how long it will take Karen to do her homework, we need to determine her work rate for both reading pages and solving math problems.
We know that Karen can read 10 pages and complete 15 math problems in 30 minutes. This gives us the following rates:
- Reading rate: 10 pages / 30 minutes = 1/3 pages per minute
- Math rate: 15 problems / 30 minutes = 1/2 problems per minute
Next, we need to calculate how long it will take Karen to complete her homework based on these rates.
Reading: Karen needs to read 30 pages, and her reading rate is 1/3 pages per minute. We can use the equation: time = work / rate.
So, the time it will take Karen to read 30 pages is: time = 30 pages / (1/3 pages per minute) = 30 pages * 3 minutes/page = 90 minutes.
Math: Karen needs to complete 45 math problems, and her math rate is 1/2 problems per minute. Again, using the equation: time = work / rate.
So, the time it will take Karen to complete 45 math problems is: time = 45 problems / (1/2 problems per minute) = 45 problems * 2 minutes/problem = 90 minutes.
Finally, to find the total time required for Karen to do her homework, we add the times for reading and math:
Total time = 90 minutes (reading) + 90 minutes (math) = 180 minutes.
Therefore, it will take Karen 180 minutes to complete her homework.
To find out how long it will take Karen to do her homework, we need to determine the time it takes her to complete one page of reading and one math problem.
Reading rate: Karen can read 10 pages in 30 minutes.
So, her reading rate is 10 pages / 30 minutes = 1/3 page per minute.
Math problem rate: Karen can complete 15 math problems in 30 minutes.
So, her math problem rate is 15 problems / 30 minutes = 1/2 problem per minute.
Given that Karen has 30 pages to read, she will take 30 pages * (1/3 page per minute) = 10 minutes to complete the reading.
Similarly, for the math problems, Karen will take 45 problems * (1/2 problem per minute) = 22.5 minutes.
Thus, it will take Karen 10 minutes for reading + 22.5 minutes for math = 32.5 minutes to complete her homework.