We are given an equation:

This is an equation of a circle. General form of a circle equation is:

Where:
a = x coordinate of a center
b = y coordinate of a center
r = radius of a circle
Motion detector can detect person anywhere within a boundary. The greatest distance at which detector can detect is at the edge of a circle. That distance, between detector and edge of circle, is equal to radius.
From the equation we have:

The greatest distance at which person can be detected is 4ft.
The equation of a line in point-slope form is y-6=1/3(x-2) remember point-slope is y1-y2=m(x1-x2)
Let, speed of 1st bicyclist is x.
So, speed of 2nd bicyclist is x-3 .
We know, relative speed when two objects moves towards each other :

Now, distance travelled in 3 hours is (98-2) miles .
So,

Therefore, speed of bikes are 17.5 mph and 14.5 mph.
Hence, this is the required solution.
Interest = p times R times T