To find the total time it will take Miguel to reach his destination, we can use the information that in 4 hours he has driven \( \frac{2}{3} \) of the total distance.
Let \( T \) be the total time for the trip. Since Miguel has driven \( \frac{2}{3} \) of the distance in 4 hours, we can set up the following relationship based on the proportion of the distance covered:
\[ \frac{2}{3} \text{ of } T = 4 \text{ hours} \]
To find \( T \), we can solve for it:
- Multiply both sides by \( \frac{3}{2} \):
\[ T = 4 \text{ hours} \times \frac{3}{2} \]
- Calculate:
\[ T = 4 \times 1.5 = 6 \text{ hours} \]
Thus, the total time it will take Miguel to reach his destination is 6 hours.