The speed of the slower car is 86 kilometers per hour.
The speed is the rate of change of position of an object in any direction. Speed tells us how fast or slow an object travels and describes the distance traveled divided by the time taken to cover the distance.
For the given situation,
The distance between the two cars, d = 760 kilometers
The speed of one car's rate is 18 kilometers per hour less than the other's.
Let us consider the speed be x.
Speed of one car = x,
Then speed of another car = x - 18
Time taken to meet each other, t = 4 hours.
The two cars are traveling in the opposite direction, so we need to add the two speeds of the car.
Total speed = [tex]x+(x-18)[/tex]
The formula of speed is
[tex]Speed = \frac{Distance }{Time}[/tex]
⇒ [tex]Time = \frac{Distance }{speed}[/tex]
⇒ [tex]4=\frac{760}{x+x-18}[/tex]
⇒ [tex]4=\frac{760}{2x-18}[/tex]
⇒ [tex]8x-72=760[/tex]
⇒ [tex]8x=832[/tex]
⇒ [tex]x=104[/tex]
Thus, the speed of the slower car is
⇒ [tex]x-18=104-18[/tex]
⇒ [tex]86[/tex]
Hence we can conclude that the speed of the slower car is 86 kilometers per hour.
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