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

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] milesThe Time taken by car to cover distance =  3 [tex]\frac{1}{2}[/tex] min =  [tex]\frac{7}{2}[/tex] minThe speed o car in miles per minute = S miles/minSo, 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 minuteNow, Let The speed of car in miles per hour = x miles/hSo, Time in hour = [tex]\frac{7}{2}[/tex] × [tex]\frac{1}{60}[/tex] = [tex]\frac{7}{120}[/tex] hoursSo ,  Speed = [tex]\dfrac{\textrm Distance}{\textrm Time}[/tex]Or, x = [tex]\frac{\frac{7}{3}}{\frac{7}{120}}[/tex] miles per hoursOr, x = 40 miles per hoursHence 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