Miguel has driven \( \frac{2}{3} \) of the total distance in 4 hours. To find the total time it will take him to reach his destination, we can set up a proportion.
If \( \frac{2}{3} \) of the distance takes 4 hours, then the total distance (1, which represents the whole) will take:
\[ \text{Total time} = \frac{Total distance}{Distance covered per time} \]
It can also be calculated using simple proportional reasoning:
\[ \text{If } \frac{2}{3} \text{ of the distance takes } 4 \text{ hours, then } 1 \text{ (the whole distance) takes } \frac{4 \text{ hours}}{\frac{2}{3}} = 4 \times \frac{3}{2} = 6 \text{ hours.} \]
Thus, the total time it will take him to reach his destination is 6 hours.
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