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)
Responses
8 hours
8 hours
12 hours
12 hours
6 hours
6 hours
8/3 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, we can set up a proportion:
(2/3) / 4 = (1/3) / x
Cross multiplying, we get:
2x = 4
x = 4/2
x = 2
Therefore, it will take Miguel 2 hours to drive the remaining 1/3 of the total distance.
Adding the initial 4 hours of driving, the total time it will take Miguel to reach his destination is:
4 hours + 2 hours = 6 hours
So the correct answer is 6 hours.