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.