SOLUTION: Training for a triathlon involves running, swimming, and biking. The athlete runs every {{{(2r-2s)}}} days, swims every {{{(4r^2-4rs)}}} days, and bikes every {{{(8rs-8s^2)}}} days

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Training for a triathlon involves running, swimming, and biking. The athlete runs every {{{(2r-2s)}}} days, swims every {{{(4r^2-4rs)}}} days, and bikes every {{{(8rs-8s^2)}}} days      Log On


   

Question 1013762: Training for a triathlon involves running, swimming, and biking. The athlete runs every %282r-2s%29 days, swims every %284r%5E2-4rs%29 days, and bikes every %288rs-8s%5E2%29 days. When would the athlete have all three activities on the same day?
Answer by ikleyn(52756) About Me  (Show Source):
You can put this solution on YOUR website!
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Training for a triathlon involves running, swimming, and biking. The athlete runs every %282r-2s%29 days,
swims every %284r%5E2-4rs%29 days, and bikes every %288rs-8s%5E2%29 days.
When would the athlete have all three activities on the same day?
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Athlets:  2r - 2s = 2*(r-s)

swims:    %284r%5E2-4rs%29 = 4r*(r-s)

bikes:    %288rs-8s%5E2%29 = %288s%29%2A%28r-s%29.


The athlete have all three activities on the same day if and when

4r = 8s,   or  r = 2s.