SOLUTION: Ozzy goes to bed at 8 pm while Kristen & Sean go to bed at 11 pm. If Ozzy sleeps twice as long as Kristen and Sean sleeps 6 hours more than Kristen and Sean and Ozzy sleep the same

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Question 268978: Ozzy goes to bed at 8 pm while Kristen & Sean go to bed at 11 pm. If Ozzy sleeps twice as long as Kristen and Sean sleeps 6 hours more than Kristen and Sean and Ozzy sleep the same number of hours - what time does Kristen get up?
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Ozzy sleeps twice as long as kristen gets us
(i) Oz = 2Kr
sean sleeps 6 more hours than Kristen gets us
(ii) Se = Kr + 6
Sean and Ozzy sleep the same number of hours gets us
(iii) Se = Oz
substitute (iii) into (ii) to get
(iv) Oz = Kr + 6
substitute (i) into (iv) to get
(v) 2Kr = Kr + 6
solving, we get
Kr = 6 hours
Now,
Oz = 12 hours and Se = 12 hours.
Since Kristen goes to be at 11, she must get up 6 hours later or at 5 AM