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)

A. 8 hours
B. 12 hours
C. 8/3 hours
D. 6 hours

1 answer

If Miguel has driven 2/3 of the total distance in 4 hours, then we can set up a proportion to find the total time it will take him to reach his destination.

Let x be the total time it will take him to reach his destination.

(2/3) / 4 = 1 / x

Cross-multiplying, we get:

2/3 * x = 4 * 1
2x = 12

Dividing both sides by 2, we find:

x = 6

Therefore, the total time it will take him to reach his destination is 6 hours.

The answer is (D) 6 hours.