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