Help with Parametric Equations?

Just a technicality question... Two particles move in the x-y plane. For t>=0, the position of particle A is x = (t-2)^2 and y = t-2 and the position of particle B is x = 3/2t - 2 and y = 3/2t - 4. At what time do the particles collide? I have already translated both equations into rectangular form and found that they intersect at the (x,y) point (4,2). Is this the answer I should give for "At what time do the particles collide?"? It doesn't seem to make sense with the question, but maybe that's just me...