Question 313161
Use the formula d=vt, where d=distance, v=velocity (or speed) and t=time


Car 1: v1 = v2 + 8, d1=17.2 miles
Car 2: v2 = v2,  d2 = 14 miles


Assume they travel for the same amount of time:

d=vt
t=d/v

d1/v1 = d2/v2

17.2/(v2+8) = 14/v2


Cross multiply to find:

17.2*v2 = 14*v2 + 112

3.2*v2 = 112
v2 = 112/3.2
v2 = 35 miles per hour


The first car travels 8mph faster, so it travels 43 mph.