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?
A. 8/3 hours
B. 12 hours
C. 8 hours
D. 6 hours
If Miguel has driven 2/3 of the total distance in 4 hours, then he has 1/3 of the total distance left to drive.
Since he has driven 2/3 of the distance in 4 hours, the total time it will take him to reach his destination is 4 hours + 4 hours = <<4+4=8>>8 hours.
Therefore, the answer is C. 8 hours.
To determine the total time it will take Miguel to reach his destination, we need to find the remaining distance and divide it by the rate at which he has been driving.
Given that Miguel has driven 2/3 of the total distance in 4 hours, this means he has 1/3 of the distance remaining.
To find the remaining distance, we can subtract 2/3 from 1:
1 - 2/3 = 3/3 - 2/3 = 1/3
Since Miguel drives 1/3 of the distance in 4 hours, we can find the time it takes him to drive the entire distance by multiplying the time it takes to drive 1/3 by 3.
4 hours * 3 = 12 hours
Therefore, the total time it will take him to reach his destination is 12 hours.
So, the correct answer is B. 12 hours.
To find the total time it will take for Miguel to reach his destination, we need to determine the time it takes for him to drive the remaining 1/3 of the total distance.
Since Miguel has driven 2/3 of the distance in 4 hours, we can set up a proportion to find the time it takes him to drive 1/3 of the distance:
(2/3 of the distance) : 4 hours = (1/3 of the distance) : x
Cross-multiplying, we get:
(2/3) * x = (1/3) * 4
Multiplying both sides by 3, we have:
2x = 4
Dividing both sides by 2, we find:
x = 2
So it takes Miguel 2 hours to drive the remaining 1/3 of the distance.
Therefore, the total time it will take for Miguel to reach his destination is 4 hours + 2 hours = 6 hours.
Hence, the answer is D. 6 hours.