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)
____minutes

Answer 1

To find out how long it will take Karen to complete her homework, we first need to calculate how long it takes her to read 30 pages and solve 45 math problems based on the information provided.

**Step 1: Calculate time to read 30 pages.**
- Karen reads 10 pages in 30 minutes.
- To find out how long it takes her to read 1 page, we can calculate:
\[
\frac{30 \text{ minutes}}{10 \text{ pages}} = 3 \text{ minutes per page}
\]
- Therefore, for 30 pages, the time taken will be:
\[
30 \text{ pages} \times 3 \text{ minutes per page} = 90 \text{ minutes}
\]

**Step 2: Calculate time to complete 45 math problems.**
- Karen completes 15 math problems in 30 minutes.
- To find out how long it takes her to complete 1 math problem, we calculate:
\[
\frac{30 \text{ minutes}}{15 \text{ problems}} = 2 \text{ minutes per problem}
\]
- Therefore, for 45 math problems, the time taken will be:
\[
45 \text{ problems} \times 2 \text{ minutes per problem} = 90 \text{ minutes}
\]

**Step 3: Calculate total time for both tasks.**
- Now, we sum the time taken for both tasks:
\[
90 \text{ minutes (reading)} + 90 \text{ minutes (math problems)} = 180 \text{ minutes}
\]

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

**Final Answer: 180 minutes**