Mathematics: Starting from 300 feet away, a car drives toward you. it then passes by you at a speed of 48 feet per second. the distance dd (in feet) of the car from you after tt seconds is given by the equation d=|300−48t|d=|300−48t|. at what times is the car 60 feet from you?

125 is the correct answer because sum of two opposite interior angles is equal to exterior angle...

Starting from 300 feet away, a car drives toward

emilee30

11.03.2022

we know that

The distance d (in feet) of the car from you after t seconds is given by the equation

$d=\left|300-48t\right|$

Find the times t for $d=60\ feet$

substitute the value of d in the equation

$60=\left|300-48t\right|$

Solve for t

There are two solutions

First Solution

60=+(300-48t)

60=300-48t

48t=300-60

48t=240

t=240/48

$t=5\ sec$

Second Solution

60=-(300-48t)

60=-300+48t

48t=300+60

48t=360

t=360/48

$t=7.5\ sec$

therefore

the answer is

At the time $t=5\ sec$ and at the time $t=7.5\ sec$

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