Question 55559
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 * 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 * time}}}
so  {{{15*t}}}
How far is home?
{{{35(2-t)}}}
Set them equal:
{{{15t=35(2-t)}}}
And solve for t (I'll let you do that part).