A spider is located at the position (3, 1) in a coordinate system, where the units on each axis are feet. An ant is located at the position (8,0) in the same coordinate system. Assume the location of the spider after t minutes is a(t) = (3 + t, 1+2t) and the location of the ant after t minutes is a (t) =(8 - t, 4t). a) Where is the ant located when its x-coordinate is 5?
b) How far apart are the bugs when their y coordinates coincide?