Miguel is returing from the 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
A 8 hours
B 12 hours
C 8/3 hours
D 6 hours
Since Miguel has already driven 2/3 of the total distance and he has 4 more hours left, the remaining 1/3 of the distance will take him 4 hours to drive.
To find the total time it will take him to reach his destination, we add the time he has already spent driving (4 hours) and the time it will take him to drive the remaining distance (4 hours).
Total time = 4 hours + 4 hours = 8 hours
Therefore, the answer is:
A) 8 hours
To find out the total time it will take Miguel to reach his destination, we can use the information given:
Miguel has driven 2/3 of the total distance in 4 hours.
Let's assume the total distance Miguel needs to drive is D.
Since Miguel has driven 2/3 of D in 4 hours, we can set up a proportion:
(2/3) D / 4 = 1 D / T
Here, T represents the total time it will take Miguel to reach his destination.
To solve for T, we can cross multiply and solve for T:
(2/3) D * T = 4 * 1 D
2D * T = 4D
Dividing both sides by 2D, we have:
T = 4D / 2D
T = 2
Therefore, the total time it will take Miguel to reach his destination is 2 hours.
So, the correct answer is D) 6 hours.
To find the total time it will take Miguel to reach his destination, we can use ratios and proportions.
We know that Miguel has already driven 2/3 of the total distance and has 4 hours left to drive. Let's assume that the total distance is represented by "x".
The distance Miguel has driven is 2/3 * x.
The remaining distance is 1/3 * x.
We also know that the time it takes to drive a certain distance is directly proportional to the distance. In other words, if it takes Miguel 2/3 of the total time to drive 2/3 of the distance, then it will take him the full total time to drive the full distance.
So, if Miguel has 4 hours left to drive 1/3 of the distance, we can set up the proportion:
2/3 of the distance / 2/3 of the time = 1/3 of the distance / 4 hours
To solve for the total time it will take Miguel to reach his destination, we need to find the value of 1/3 of the time.
Cross-multiplying the proportion:
(2/3 * x) * 4 = (1/3 * x) * (2/3 * x)
8/3 * x = 2/9 * x^2
Now, we can solve the equation for x and find the total time it will take Miguel to reach his destination.
Multiplying both sides by 9:
8/3 * 9 * x = 2/9 * x^2 * 9
24x = 2x^2
Dividing both sides by x:
24 = 2x
Dividing both sides by 2:
12 = x
So, the total distance Miguel needs to travel is 12 units (could be miles or kilometers, depending on the context).
Now, we can substitute the value of x into one of the expressions we derived earlier to find the total time:
Total time = 2/3 of the distance = (2/3) * 12
Total time = 8 hours
Therefore, the total time it will take Miguel to reach his destination is 8 hours.
Thus, the correct answer is A) 8 hours.