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
83 hours
Start Fraction 8 over 3 End Fraction hours
8 hours
8 hours
6 hours
6 hours
12 hours
12 hours
In 4 hours, Miguel has already driven 2/3 of the total distance, which means he has 1/3 left to drive.
Since 2/3 is equivalent to 8/12, we can say that Miguel has already driven 8/12 of the total distance in 4 hours.
Now, if he has 1/3 left to drive and he has already driven 8/12, it means that 1/3 is equal to 4/12.
So, the total distance will take 12 hours to reach his destination.
To solve this problem, we need to find the total time it will take Miguel to reach his destination.
Given that Miguel has already driven 2/3 of the total distance in 4 hours, we can calculate the total time using a proportion.
Let's assume the total time it will take Miguel to reach his destination is "x" hours.
We can set up the proportion:
2/3 = 4/x
To solve for "x", we can cross-multiply:
2x = 3 * 4
2x = 12
Divide both sides by 2:
x = 12 / 2
x = 6
Therefore, the total time it will take Miguel to reach his destination is 6 hours.
Therefore, the correct answer is:
6 hours
To find the total time it will take Miguel to reach his destination, we can use the information that in 4 hours, he has driven 2/3 of the total distance.
Let's break down the steps to solve this problem:
1. Determine the time it took Miguel to drive 2/3 of the total distance:
- If 2/3 of the distance was covered in 4 hours, then 1/3 of the distance would be covered in half the time, which is 2 hours.
- So, to drive 2/3 of the distance, Miguel took 4 hours.
2. Calculate the total time it will take Miguel to reach his destination:
- If Miguel took 4 hours to drive 2/3 of the distance, then the remaining 1/3 of the distance will take the same amount of time.
- So, the total time it will take Miguel to reach his destination is 4 hours + 4 hours = 8 hours.
Therefore, the correct answer is 8 hours.