To calculate the total time it will take Miguel to reach his destination, we need to find the remaining distance and add it to the time he has already spent driving.
Given that Miguel has driven 2/3 of the total distance in 4 hours, we can determine that the remaining distance is 1/3 of the total distance.
Now, since it took Miguel 4 hours to drive 2/3 of the distance, the remaining 1/3 will also take the same amount of time.
To find the time it will take Miguel to drive the remaining 1/3 of the distance, we can use the concept of ratios. The ratio of the remaining distance to the time Miguel has already spent driving is 1:2/3.
Let's set up a proportion to find the time it will take Miguel to drive the remaining distance:
1/3 / x = 2/3 / 4
Cross-multiply the proportions:
1/3 * 4 = 2/3 * x
4/3 = 2x/3
Multiply both sides by 3 to get rid of the denominator:
4 = 2x
Divide both sides by 2:
x = 2
Therefore, it will take Miguel an additional 2 hours to drive the remaining 1/3 of the distance.
Adding this additional time to the 4 hours he has already spent driving, the total time it will take Miguel to reach his destination is:
4 hours + 2 hours = 6 hours
Therefore, the correct answer is not listed among the options provided.