If Miguel has driven \( \frac{2}{3} \) of the total distance in 4 hours, we can set up a proportion to find the total time.
Let \( T \) be the total time for the trip. According to the information given:
\[ \frac{2}{3} \text{ of the distance} \text{ takes } 4 \text{ hours} \]
To find the total time \( T \), we can set up a proportion:
\[ \frac{2}{3} \text{ of the distance} : T = 4 \text{ hours} : 1 \text{ total unit of time} \]
We can calculate:
\[ \frac{2}{3}T = 4 \implies T = 4 \div \frac{2}{3} = 4 \times \frac{3}{2} = 6 \text{ hours} \]
Thus, the total time it will take him to reach his destination is \( 6 \) hours.
So the correct response is:
6 hours