Miguel is retiring 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?
Options:
6 hours
8/3 hours
12 hours
8 hours
If Miguel has driven 2/3 of the total distance in 4 hours, then he has 1/3 of the distance left to drive.
Since he drove 2/3 of the distance in 4 hours, this means that 2/3 of the total time has passed.
To find the total time it will take him to reach his destination, we can set up a proportion:
(2/3) / (4 hours) = (1/3) / (x hours)
Cross multiplying, we get:
2/3 * x = 4 * 1/3
2x/3 = 4/3
2x = 4
x = 4 / 2
x = 2
So, the total time it will take Miguel to reach his destination is 2 hours.
Therefore, the correct option is:
2 hours.
Given that Miguel has driven 2/3 of the total distance in 4 hours, we can calculate the total time it will take him to reach his destination.
Let's denote the total time it will take him to reach his destination as x hours.
According to the information provided, Miguel has driven 2/3 of the total distance in 4 hours. This means that in x hours, he would have driven the remaining 1/3 of the total distance.
From this, we can set up a proportion using the distances and times:
(2/3) / 4 = (1/3) / x
To solve for x, we can cross-multiply the fractions:
2/3 * x = 1/3 * 4
2x/3 = 4/3
Now, we can solve for x by multiplying both sides of the equation by 3/2:
(2x/3) * (3/2) = (4/3) * (3/2)
(2/2) * x = 12/6
x = 12/6
Simplifying the fraction, x = 2.
Therefore, the total time it will take Miguel to reach his destination is 2 hours.
Option: 2 hours
To find the total time it will take Miguel to reach his destination, we need to determine the remaining distance and calculate the time it would take to drive that distance.
According to the given information, Miguel has already driven 2/3 of the total distance in 4 hours. This means that he still has 1/3 of the total distance remaining.
Let's calculate the time it would take to drive the remaining distance. Since Miguel drove 2/3 of the total distance in 4 hours, we can set up a proportion to find the time it would take to drive 1/3 of the distance:
(2/3 distance / 4 hours) = (1/3 distance / x hours)
To solve for x (the remaining time), we can cross-multiply:
(2/3) * x = (1/3) * 4
2x = 4
x = 4 / 2
x = 2
Therefore, it would take Miguel an additional 2 hours to drive the remaining 1/3 of the total distance.
We can now calculate the total time it will take for Miguel to reach his destination by adding the time he has already driven (4 hours) and the remaining time (2 hours):
Total time = 4 hours + 2 hours = 6 hours
Therefore, the correct option is 6 hours.