Answer
10 mph for the first portion
8 mph for the cooldown portion
Work Step by Step
distance = rate * time
$20 = r*t$
$16 = (r-2)*t$
$20 = r*t$
$20/r = r*t/r$
$20/r = t$
$16 = (r-2)*t$
$16/(r-2)=(r-2)*t/(r-2)$
$16/(r-2) = t$
$20/r = 16/(r-2)$
$20*(r-2)=16r$
$20r-40=16r$
$4r-40=0$
$4r=40$
$4r/4=40/4$
$r=10$
$20 = r*t$
$20 = 10*t$
$20/10 = 10t/10$
$2=t$
$16 = (r-2)*t$
$16 = (10-2)*2$
$16=8*2$ (true statement)