A car travels 2 1/3 miles in 3 1/2 minutes at a constant speed. Write an equation to represent the car travels in miles and minutes Write an equation to represent the distance the car travels,d, in the miles for h hours

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Answer:

The speed of car in miles per minute is  [tex]\frac{2}{3}[/tex] miles per minute and

The speed of car in mile per hour is 40 miles per hour,

Step-by-step explanation:

Given as :

The distance cover by car = 2 [tex]\frac{1}{3}[/tex] = [tex]\frac{7}{3}[/tex] miles

The Time taken by car to cover distance =  3 [tex]\frac{1}{2}[/tex] min =  [tex]\frac{7}{2}[/tex] min

The speed o car in miles per minute = S miles/min

So, Speed = [tex]\dfrac{\textrm Distance}{\textrm Time}[/tex]

Or, S = [tex]\frac{\frac{7}{3}}{\frac{7}{2}}[/tex] mie per min

∴  S = [tex]\frac{2}{3}[/tex] miles per minute

Now, Let The speed of car in miles per hour = x miles/h

So, Time in hour = [tex]\frac{7}{2}[/tex] × [tex]\frac{1}{60}[/tex] = [tex]\frac{7}{120}[/tex] hours

So ,  Speed = [tex]\dfrac{\textrm Distance}{\textrm Time}[/tex]

Or, x = [tex]\frac{\frac{7}{3}}{\frac{7}{120}}[/tex] miles per hours

Or, x = 40 miles per hours

Hence The speed of car in miles per minute is  [tex]\frac{2}{3}[/tex] miles per minute and the speed of car in mile per hour is 40 miles per hour, answer