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)

Question

Responses

12 hours
12 hours

83 hours
Start Fraction 8 over 3 End Fraction hours

8 hours
8 hours

6 hours

Answer 1

Start by finding the remaining distance that Miguel has to drive.

Since he has already driven 2/3 of the total distance, the remaining distance is 1 - 2/3 = 1/3 of the total distance.

If it took him 4 hours to drive 2/3 of the way, we can set up a proportion to find the total time it will take him to drive the remaining distance.

4 hours / (2/3) = T hours / (1/3)

To solve for T, cross-multiply:

4(1/3) = (2/3)T

4/3 = 2T/3

Multiply both sides by 3:

4 = 2T

Divide both sides by 2:

2 = T

Therefore, it will take Miguel an additional 2 hours to drive the remaining 1/3 of the total distance.

The total time it will take him to reach his destination is 4 hours + 2 hours = 6 hours.