Miguel is returning from a trip. In 4 hours he has driven 2/3 of the total distance. He wants to know how long the total drive will take . At this rate, what is the total time it will take him to reach his destination

1 answer

If Miguel has driven 2/3 of the total distance in 4 hours, then he has 1/3 of the distance remaining to travel.
To find the total time it will take him to reach his destination, we can set up a proportion: (time taken to drive 2/3 of the distance) / (total time) = (2/3) / 1.
Let's call the total time it will take Miguel to reach his destination "x".
So, (4 hours) / (x) = (2/3) / 1.
Cross multiplying, we get 4x = (2/3) * 1.
Simplifying the right side of the equation, we have 4x = 2/3.
Dividing both sides by 4, we find that x = (2/3) / 4.
Simplifying the right side of the equation, we have x = 2/12.
Therefore, it will take Miguel 2/12 of an hour, or 10 minutes, to reach his destination. Answer: \boxed{10}.