Question

Kareem is on his way home in his car he is driven 24 miles so farWhich is 2/3 of the way homeWhat is the total length of his drive

Answer 1

36 miles

Step-by-step explanation

Step 1

to solve this we can use a rule of three

let x represents the total distance of his drive

hence

`\begin{gathered} \text{if} \\ 24\text{ miles }\Rightarrow(2)/(3)\text{of th total } \\ x\text{ miles }\Rightarrow1\text{ total } \end{gathered}`

therefore, the proportion would be.

`\begin{gathered} \frac{24\text{ miles }}{(2)/(3)\text{ of total }}=\frac{x\text{ miles}}{1\text{ total }} \\ (24)/((2)/(3))=x \\ (24\cdot3)/(2)=x \\ (72)/(2)=x \\ 36=x \end{gathered}`

so, we can conclude that

the total length is

36 miles

I hope this helps you