Mathematics: Two cars leave home, driving in opposite directions. one car is 10 miles per hour faster than the other. after 4.5 hours, they are 603 miles apart. how fast are they each driving?

Two cars leave home, driving in opposite directions.

k3wabii

15.03.2022

The speed of one car is 62 miles per hour and speed of other can is 72 miles per hour.

Step-by-step explanation:

Let x miles per hour be the speed of one car.

We have been given that speed of the other car is 10 miles per hour faster than the first car.

So the speed of other car would be x+10 miles per hour.

After 4.5 hours, they are 603 miles apart.

$\text{Distance}=\text{Speed}\times\text{Time}$

$603=(x+x+10)\times 4.5$

$603=(2x+10)\times 4.5$

603=9x+45

Switch sides:

9x+45=603

9x+45-45=603-45

9x=558

$\frac{9x}{9}=\frac{558}{9}$

x=62

Therefore, the speed of one car is 62 miles per hour.

The speed of other car would be $x+10\Rightarrow 62+10=72$

Therefore, the speed of other car is 72 miles per hour.

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