Question 78951
You are courageous to go back to school after 30 years!

I have edited your question to take out some aspects I did not like about it.
Please do not post numerous questions as one question.
Also, I do not want to answer a question that tells me "Answer" and "Show your work".  In a tutoring site I help to teach someone to do something, not do homework so someone can pass a "required" class.  It is required because it is good if people can understand things.  Please pay attention to the answer and try to actually learn what is going on.  I am sure locating the answer will be the least of your problems.  Just because you are instructed to show your work does not mean I am going to appreciate being told to show my work.  As a true believer in math I am probably going to show you more work than you need in my explanation.  Is this clear??!!


Allowing for various traffic conditions, a driver can average approximately 60 miles per hour.
a) How far have you traveled after 3 hours?


OK  the formula you might want to have here is:

Distance and Speed formula

d = s * t

The distance traveled is the average speed multiplied by the amount of time traveled.

The formula assumes a constant speed.  The question seems to be following some idealized view of reality where an 'average' speed can be used as a constant speed.  Therefore the answer you are about to get is not going to have a very exact relationship to reality.  In reality you might drive at a very nearly constant speed of 60 miles an hour for 20 minutes on cruise control, except there would be slight hills and breezes and other natural variations.  To exactly represent the distance traveled would require calculus and integrals.

So your answer is going to involve the word 'Approximately' is what I am getting to here.  Sorry for lecturing

Anyway, your t is 3 hours, your s is about 60 miles per hour, and if you use the formula

d = t * s
that is
d = 3 * 60
d = 180 miles

Answer: you traveled about 180 miles

I hope this gets you off to a good start.  I am sure your questions will improve a lot after this!  Thanks for using the site.  Welcome back to school!