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?
12 hours
8/3 hours
8 hours
6 hours
If Miguel has driven 2/3 of the total distance in 4 hours, it means that he has 1/3 of the total distance left to cover.
To cover 1/3 of the total distance, it will take him 4/3 hours.
Therefore, the total time it will take him to reach his destination is 4 hours + 4/3 hours = 8/3 hours. Answer: \boxed{\frac{8}{3} \text{ hours}}
To find the total time it will take Miguel to reach his destination, we can set up a proportion based on the information given.
From the problem, we know that Miguel has already driven 2/3 of the total distance in 4 hours. Let's assume the total distance is "d" miles. Therefore, 2/3 of the total distance would be (2/3) * d miles.
Now, we can set up the proportion:
(2/3) * d miles / 4 hours = d miles / x hours
To solve for x, we can cross-multiply:
2/3 * d * x = d * 4
Next, cancel out the "d" terms:
(2/3) * x = 4
To isolate "x," multiply both sides of the equation by 3/2:
x = 4 * (3/2)
x = 12/2
x = 6
Therefore, the total time it will take Miguel to reach his destination is 6 hours.
To find the total time it will take Miguel to reach his destination, we need to determine how long it took him to drive 2/3 of the total distance.
Since Miguel has already driven 2/3 of the total distance in 4 hours, we can determine his driving speed by dividing the total distance by 2/3 (since 2/3 represents the distance he has already driven).
If we let x represent the total distance, we can set up the following equation:
(2/3) * x = 4
To solve for x, we divide both sides of the equation by 2/3:
x = 4 / (2/3)
x = 4 * (3/2)
x = 6
So, the total distance is 6.
Now that we know the total distance, we can calculate the total time it will take Miguel to reach his destination.
Since he has already driven 2/3 of the total distance in 4 hours, at the same rate it will take him another 2/3 of the total time to complete the remaining 1/3 of the distance.
So, the remaining 1/3 of the distance will take him 4 hours * (1/3) = 4/3 hours.
Therefore, the total time it will take him to reach his destination is 4 hours (for the 2/3 of the distance already covered) + 4/3 hours (for the remaining 1/3 of the distance) = 12/3 + 4/3 = 16/3 hours.
In decimal form, 16/3 hours is approximately equal to 5.333 hours.
Therefore, the total time it will take Miguel to reach his destination is approximately 5.333 hours.
So, the answer is 8/3 hours.