An amateur cyclist is training for a road race. He rode the first 18-mile portion of his workout at a constant rate. He then reduced his speed by 3 mph for the remaining 12-mile cool-down portion of the workout. Each portion of the workout took equal time. Find the cyclist's rate during the first portion and his rate during the cool-down portion.

First Portion: mph
Cool-Down: mph

You can earn partial credit on this problem.