We can use the formula d = rt in getting the algebraic equation for the two cars where; d = distance, r = rate, t = time.
Given:
\(r_{1}\) (blue car) = 35 miles per hour
\(r_{2}\)(red car) = 70 miles per hour
distance between the two towns = 140 miles
\(t_{1}\) (blue car)= no. of hours the blue car travels
\(t_{2}\)(red car) = no. of hours the red car travels
Linear equation for the blue car
\(d=( r_{1})( t_{1})\)
\(140=(35)( t_{1})\)
\(140/35= t_{1}\)
\(t_{1}=4 hours\)
blue car travels 4 hours from town A to town B.
Linear equation for the red car
\(d=( r_{2})( t_{2})\)
\(140=(70)( t_{2})\)
\(140/70= t_{2}\)
\(t_{2}=2 hours\)
red car travels 2 hours from town A to town B.
