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. 12 hours
2. 8/3 hours
3. 8 hours
4. 6 hours
If Miguel has driven 2/3 of the total distance in 4 hours, then at this rate, he will take 4 / (2/3) = 6 hours to drive the total distance.
Therefore, the correct answer is 6 hours. Answer choice 4.
To find the total time it will take Miguel to reach his destination, we can use the given information that he has driven 2/3 of the total distance in 4 hours.
Let's assume that the total time it will take him to reach his destination is T hours.
Since Miguel has already driven 2/3 of the total distance in 4 hours, we can set up the proportion:
(2/3) / 4 = 1 / T
To solve for T, we can cross-multiply and solve for T:
(2/3) * T = 4 * 1
2T = 12
T = 12 / 2
T = 6
Therefore, at this rate, it will take him a total of 6 hours to reach his destination.
The correct answer is option 4. 6 hours.
To find the total time it will take Miguel to reach his destination, we need to determine the time it took him to drive 2/3 of the total distance.
Let's assume the total distance is "D". Since Miguel has driven 2/3 of the total distance in 4 hours, we can set up the equation:
(2/3) * D = 4
To solve for D, we can multiply both sides of the equation by (3/2):
D = 4 * (3/2)
D = 6
So, the total distance is 6 units of distance.
Now, we need to find the remaining 1/3 of the total distance. Since Miguel has already driven 2/3, the remaining distance is 1/3 of the total distance.
To find the time it will take Miguel to drive the remaining 1/3 of the distance, we can set up the following equation:
(1/3) * D = x
Where "x" represents the time it will take Miguel to drive the remaining 1/3 of the distance.
Substituting D = 6 into the equation, we have:
(1/3) * 6 = x
2 = x
Therefore, the time it will take Miguel to drive the remaining 1/3 of the distance is 2 hours.
To find the total time it will take Miguel to reach his destination, we need to add the time it took him to drive 2/3 of the distance (4 hours) to the time it will take him to drive the remaining 1/3 of the distance (2 hours):
Total time = 4 hours + 2 hours
Total time = 6 hours
Therefore, the correct answer is option 4: 6 hours.