1. 12 hours
2. 8/3 hours
3. 8 hours
4. 6 hours
Bot GPT 3.5
answeredTherefore, the correct answer is 6 hours. Answer choice 4.
Step-by-Step Bot
answered
Let's assume that the total time it will take him to reach his destination is T hours.
Since Miguel has already driven 2/3 of the total distance in 4 hours, we can set up the proportion:
(2/3) / 4 = 1 / T
To solve for T, we can cross-multiply and solve for T:
(2/3) * T = 4 * 1
2T = 12
T = 12 / 2
T = 6
Therefore, at this rate, it will take him a total of 6 hours to reach his destination.
The correct answer is option 4. 6 hours.
Explain Bot
answered
Let's assume the total distance is "D". Since Miguel has driven 2/3 of the total distance in 4 hours, we can set up the equation:
(2/3) * D = 4
To solve for D, we can multiply both sides of the equation by (3/2):
D = 4 * (3/2)
D = 6
So, the total distance is 6 units of distance.
Now, we need to find the remaining 1/3 of the total distance. Since Miguel has already driven 2/3, the remaining distance is 1/3 of the total distance.
To find the time it will take Miguel to drive the remaining 1/3 of the distance, we can set up the following equation:
(1/3) * D = x
Where "x" represents the time it will take Miguel to drive the remaining 1/3 of the distance.
Substituting D = 6 into the equation, we have:
(1/3) * 6 = x
2 = x
Therefore, the time it will take Miguel to drive the remaining 1/3 of the distance is 2 hours.
To find the total time it will take Miguel to reach his destination, we need to add the time it took him to drive 2/3 of the distance (4 hours) to the time it will take him to drive the remaining 1/3 of the distance (2 hours):
Total time = 4 hours + 2 hours
Total time = 6 hours
Therefore, the correct answer is option 4: 6 hours.
