Question

Question
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)

Answer 1

its wrong >:<

Answer 2

the real answer is 90

Answer 3

To find out how long it will take Karen to do her homework, we first need to determine how long it takes her to read 30 pages and to complete 45 math problems based on her current pace.

1. **Reading Time:**
- Karen reads 10 pages in 30 minutes.
- To find how long it takes to read 30 pages, we set up a proportion:
\[
\text{Time} = \left(\frac{30 \text{ pages}}{10 \text{ pages}}\right) \times 30 \text{ minutes} = 3 \times 30 \text{ minutes} = 90 \text{ minutes}
\]

2. **Math Problems Time:**
- Karen completes 15 math problems in 30 minutes.
- To find how long it takes to complete 45 math problems, we set up a proportion:
\[
\text{Time} = \left(\frac{45 \text{ problems}}{15 \text{ problems}}\right) \times 30 \text{ minutes} = 3 \times 30 \text{ minutes} = 90 \text{ minutes}
\]

3. **Total Time:**
- Now we add the time spent on reading and completing math problems:
\[
\text{Total Time} = 90 \text{ minutes (reading)} + 90 \text{ minutes (math)} = 180 \text{ minutes}
\]

Thus, it will take Karen a total of **180 minutes** to complete her homework.