Pick somewhere as the Origin. It seems convenient to pick Jones Beach and measure distances in miles. Since you have nicely defined time in hours, it may be convenient to use mph. Time is represented by 't'. Distance is reporesented by 'm'.
Jones Beach is at m = 0
Oak Beach is at m = 12
From part (b), we may be the distance of the Police from Jones Beach. Call it 'c', or m = -c. (Don't miss the negative sign.)
We'll also need to translate the other time. 10:04 = 10 + 1/15 hours and 10 + 1/15 - 9.9 hr = 1/6 hr
That was an awful lot of definition before we even tried to solve the problem!!
All we have left is Distance = Rate * Time
Evader: 12 mi = RateE*(1/6 hr)
Police 12+c mi = RateP*(1/6 hr)
RateE = 72 mph
We get a little sticky, here. It seems we have insufficient information. Are you sure we hvae the ENTIRE problem statement?
Really, some of what I did here was not necessary. This is intended as an example of how to wade through a problem that seems overwhelming. Just tear it apart, write down anything you can think of, and it is likely that something useful will pop out. In this case, we solved for one rate but found the other one more difficult to pin down. This should motivate a review of the problem. If this is a test question, I would have to question its validity.