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 point)
6 hours
12 hours
8/3 hours
8 hours
If Miguel has driven 2/3 of the total distance in 4 hours, then he would take (4/2)*(3/2) = 6/2 = 3 hours to drive 1/3 of the total distance.
So, Miguel would take 4+3 = <<4+3=7>>7 hours to drive the total distance. Answer: \boxed{7}.
To find the total time it will take Miguel to reach his destination, we can use proportions.
Let's assume the total distance of Miguel's trip is X.
Since he has driven 2/3 of the total distance in 4 hours, we can set up the proportion:
(2/3) / 4 = (1/3) / t
Cross multiplying, we get:
2t = 3 * 4
2t = 12
Dividing both sides by 2:
t = 12 / 2
t = 6
Therefore, it will take Miguel 6 hours to reach his destination.
So the correct answer is:
6 hours.
To determine the total time it will take Miguel to reach his destination, we need to find out how long it took for him to drive 2/3 of the total distance.
Given that Miguel has driven 2/3 of the total distance in 4 hours, we can set up a proportion:
2/3 of the total distance = 4 hours
To find the total time, we can set up the proportion:
(2/3 of the total distance) / (total time) = (4 hours) / (1)
To solve for the total time, we need to isolate it on one side of the equation. We can do this by cross-multiplying:
(total time) * (2/3 of the total distance) = 4 hours
Next, divide both sides of the equation by (2/3 of the total distance) to isolate the total time:
(total time) = (4 hours) / (2/3 of the total distance)
Simplifying the expression on the right side:
(total time) = (4 hours) * (3/2)
(total time) = 12 hours / 2
(total time) = 6 hours
Therefore, the total time it will take Miguel to reach his destination is 6 hours.