FSX Time Zones???

Hello All,
Is there any way through FSX or 3rd party software that will simulate time zones like if you fly from KPHL to LAX it should be earlier when you arrive and the sun should still be out if you left KPHL at say 4:00pm right?
I could be wrong about the scenario I gave but I am quite sure that if you take a flight from Philly you will not land in LA at a later time.
Also, one other time related issue is when I setup a flight in FSX I notice that when I come back to the main screen the time is 3 hrs. off. Is there anyway to fix this?
Thanks in Advance for your help!!!
Is there any way through FSX or 3rd party software that will simulate time zones like if you fly from KPHL to LAX it should be earlier when you arrive and the sun should still be out if you left KPHL at say 4:00pm right?
I could be wrong about the scenario I gave but I am quite sure that if you take a flight from Philly you will not land in LA at a later time.
Also, one other time related issue is when I setup a flight in FSX I notice that when I come back to the main screen the time is 3 hrs. off. Is there anyway to fix this?
Thanks in Advance for your help!!!