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

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

1. Reading Time:

   • Karen can read 10 pages in 30 minutes.
   • Therefore, to read 1 page, she takes \( \frac{30 \text{ minutes}}{10 \text{ pages}} = 3 \text{ minutes per page} \).
   • For 30 pages, she will take \( 30 \text{ pages} \times 3 \text{ minutes per page} = 90 \text{ minutes} \).

2. Math Problems Time:

   • Karen can complete 15 math problems in 30 minutes.
   • Therefore, to complete 1 math problem, she takes \( \frac{30 \text{ minutes}}{15 \text{ problems}} = 2 \text{ minutes per problem} \).
   • For 45 math problems, she will take \( 45 \text{ problems} \times 2 \text{ minutes per problem} = 90 \text{ minutes} \).

3. Total Homework Time:

   • The total time required for both reading and completing math problems is: \[ 90 \text{ minutes (reading)} + 90 \text{ minutes (math)} = 180 \text{ minutes}. \]

Thus, it will take Karen 180 minutes to complete her homework.