Question 55478
d=rt [Use the distance formula]
First day: 360 miles=(r)(t+2)
Second day: 270 miles =(r)(t)

.
Since the speed (r) was the same, than
d=rt 
r=d/t
so, 
r=r or 
d/t=d/t [Plug in the values for the first and second day]
360 miles/(t+2) = 270/t [Solve for t]
360/(t+2)=270/t
360t=270(t+2)
360t=270t+540
360t-270t=540
90t=540
t=6 hours on the second day
(t+2)=(6+2)=8 hours on the first day
.
check by plugging the values back into each of the original equations: