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
8/3 hours
6 hours
12 hours
8 hours
If Miguel has already driven 2/3 of the total distance in 4 hours, then he has 1/3 of the distance left to drive.
To find out how long it will take him to drive the remaining 1/3 of the distance, we can set up a proportion:
(4 hours) / (2/3 distance) = (x hours) / (1/3 distance)
Cross-multiplying, we get:
4 * (1/3 distance) = (2/3 distance) * (x hours)
Simplifying, we get:
4/3 distance = 2/3 distance * x
Dividing both sides by 2/3 distance, we get:
x = (4/3 distance) / (2/3 distance)
Simplifying further, we get:
x = 4/3 รท 2/3
Dividing fractions, we get:
x = 4/3 * 3/2
x = 12/6
x = 2
Therefore, it will take Miguel an additional 2 hours to drive the remaining 1/3 of the total distance.
Adding this to the initial 4 hours, the total time it will take him to reach his destination is:
4 hours + 2 hours = 6 hours
Therefore, the correct answer is:
6 hours