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 am

Algebra ->  Linear-equations -> 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 am      Log On


   

Question 186893: 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 by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Let x= amount of time running
So, 3x= amount of time swimming (3 times that of running)
It follows----->x%2B3x=8hrs, EQN 1
4x=8hrs---->cross%284%29x%2Fcross%284%29=cross%288%292%2Fcross%284%29
highlight%28x=2hrs%29, amount of time running
Also, 3%2A2=highlight%286hrs%29, amount of time swimming
Going back EQN 1:
2%2B3%2A2=8hrs
2%2B6=8hrs
8hrs=8hrs
Thank you,
Jojo