SOLUTION: Noya drives into the city for a show. Because of traffic, she averages only 15mph. On her drive home she averages 35mph. If her total time s 2 hours, how long does it take her to d

Algebra ->  Algebra  -> Graphs -> SOLUTION: Noya drives into the city for a show. Because of traffic, she averages only 15mph. On her drive home she averages 35mph. If her total time s 2 hours, how long does it take her to d      Log On

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Question 55559: Noya drives into the city for a show. Because of traffic, she averages only 15mph. On her drive home she averages 35mph. If her total time s 2 hours, how long does it take her to drive into the city?
Answer by Hook(36) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call t the amount of time that it takes Noya to drive into the city.
If she spent two hours total driving, then the amount of time driving home must then be 2-t.
We know that distance+=+rate+%2A+time. Assuming Noya's house hasn't moved since she was at work, her drive to and from work should be the same distance.
How far did she drive to work?
distance+=+rate+%2A+time
so 15%2At
How far is home?
35%282-t%29
Set them equal:
15t=35%282-t%29
And solve for t (I'll let you do that part).