Problema Solution
When Kate exercises, she either swims or runs. She wants to spend a minimum of 8 hours a week
exercising, and she wants to swim 3 times the amount she runs. What is the minimum amount of time she must spend doing each exercise?
Answer provided by our tutors
Let
x = hours of running
3x = hours of swimming (3 times the hours of running)
Since Kate wants to exercise minimum 8 hours we have the following inequality:
x + 3x >= 8
4x >= 8 divide both sides by 4
x >= 8/4
x >= 2
Kate must run minimum 2 hours and swim minimum 3*2 = 6 hours.