When Kate exercises, she either swims or runs. She wants to spend a minimum of 15 hours a week exercising, and she wants to swim 4 times the amount she runs. What is the minimum amount of time she must spend doing each exercise?
A)At least 3 hours running and 12 hours swimming.
B)At least 12 hours running and 3 hours swimming.
C)At least 1 hour running and 14 hours swimming.
D)At least 6 hours running and 12 hours swimming.
E)At least 6 hours running and 24 hours swimming.

Question

Quizplus · Accepted Answer

Let the time spent running be x hours. Then, the time spent swimming is 4x hours. The total exercise time is x + 4x = 5x. For a minimum of 15 hours a week, 5x = 15, solving for x gives x = 3. Therefore, she must spend at least 3 hours running and 12 hours swimming.

When Kate Exercises, She Either Swims or Runs