Question

Two cars drive from town A to town B at constant speeds. The blue car travels 35 miles per hour and the red car travels 70 miles per hour. The blue car leaves at 10:30. The distance between the two town is 140 miles.... what linear equation represent the red car and the blue car

Answer 1

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.