Miguel is returning from a trip. In 4 hours, he has driven 2/3 of the social 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
To calculate the total time it will take Miguel to reach his destination, we need to determine how long the remaining distance will take him.
If Miguel has already driven 2/3 of the total distance, then he has 1 - 2/3 = 1/3 of the distance left to drive.
Since he has already driven for 4 hours, we can set up a proportion to find out how long the total drive will take: (time driven) / (distance driven) = (total time) / (total distance).
The time driven is 4 hours, the distance driven is 2/3 of the total distance, and the total time is what we're trying to find.
Using cross-multiplication, we have:
(4 hours) * (1/3 total distance) = (total time) * (total distance).
(4/3) total distance = (total time) * (total distance).
Dividing both sides by (total distance), we get:
(4/3) = (total time).
So, it will take Miguel (4/3) = 1.33 hours to drive the remaining distance and reach his destination.