Respuesta :

The speed of car is 45.3 miles per hour.

Further explanation:

Speed is the rate at which an object changes position with respect to time.

Given

[tex]Distance = 30\frac{1}{5}\ miles\\Time=\frac{2}{3}[/tex]

The formula for calculating speed is:

[tex]Speed = \frac{distance}{time}\\= \frac{30\frac{1}{5}}{\frac{2}{3}} \\=\frac{\frac{151}{5}}{\frac{2}{3}} \\=\frac{151}{5}*\frac{3}{2}\\=\frac{453}{10}\\=45.3\ miles\ per\ hour[/tex]

The speed of car is 45.3 miles per hour.

Keywords: Speed, distance

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  • brainly.com/question/12896802
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The average speed in miles per hour of the car is 45.3.

The distance traveled by the car is  [tex]30\dfrac{1}{5}\;\rm{miles}[/tex]

Time taken by the car to cover the distance is  [tex]\dfrac{2}{3}\;\rm{hours}[/tex]

We need to calculate the average speed in miles per hour of the car.

Therefore,

The formulated way to represent the speed of the car is given as:

[tex]\rm{Speed}=\dfrac{Distance}{Time\;taken}[/tex]

Thus, substitute the given values and solve them further.

[tex]\begin{aligned}\rm{Speed}&=\dfrac{30\dfrac{1}{5}}{\dfrac{2}{3}}\\&=\dfrac{\dfrac{150+1}{5}}{\dfrac{2}{3}}\\&=\dfrac{{151 \times 3}}{2 \times 5}\\&=45.3\;\rm{miles \;per \;hour} \end{aligned}[/tex]

Hence, the average speed in miles per hour of the car is 45.3.

To know more about the average speed, please refer to the link:

https://brainly.com/question/17277454

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