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
If Miguel has driven 2/3 of the total distance in 4 hours, then the remaining distance is 1/3.
Therefore, the time it will take him to reach his destination is (1/3) * 4 hours = 4/3 hours or 1 hour and 20 minutes.
To find the total time it will take Miguel to reach his destination, we need to determine the remaining distance and calculate the time it will take him to cover that distance.
Given:
- Miguel has driven 2/3 of the total distance.
- Miguel is returning from the trip in 4 hours.
1. Let's assume the total distance Miguel needs to cover is represented by "d."
2. According to the given information, Miguel has driven 2/3 of the total distance. Hence, the remaining distance is (1 - 2/3) = 1/3 of the total distance.
3. To find the remaining distance, we can multiply the total distance by 1/3: (1/3) * d.
4. Miguel is returning from the trip in 4 hours, so the time it will take him to cover the remaining distance is 4 hours.
5. Now, we can set up a proportion to find the total time it will take Miguel to reach his destination:
(4 hours) is to (1/3 * d) as (x hours) is to d.
Mathematically, we can represent this as: 4 / (1/3 * d) = x / d.
6. To solve for x (total time), we can cross-multiply:
4 * d = (1/3 * d) * x.
7. Simplify the equation:
4d = (1/3d) * x.
8. To isolate x, divide both sides of the equation by (1/3d):
4d / (1/3d) = (1/3d * x) / (1/3d).
This simplifies to: 4 * 3 = x.
Therefore, x = 12.
Therefore, it will take Miguel a total of 12 hours to reach his destination.
To find the total time it will take Miguel to reach his destination, we need to use the information given.
It is stated that Miguel is returning from the trip in 4 hours, and he has already driven 2/3 of the total distance.
Let's assume the total distance Miguel needs to travel is D miles.
Based on the information given, Miguel has driven 2/3 of the total distance.
So, the distance Miguel has already driven is (2/3) * D miles.
Now, let's find the remaining distance that Miguel needs to drive to reach his destination.
The remaining distance is the total distance minus the distance already driven:
Remaining distance = D - (2/3) * D = (1 - 2/3) * D = (1/3) * D miles.
Now, we can set up a proportion to find the time it will take Miguel to reach his destination:
(2/3) * D miles / x hours = (1/3) * D miles / 4 hours.
Cross-multiplying the proportion, we get:
(2/3) * D * 4 hours = (1/3) * D * x hours.
Simplifying this equation:
(8/3) * D = (1/3) * D * x.
Canceling out the common factor of (1/3) * D, we have:
8 = x.
Therefore, the total time it will take Miguel to reach his destination is 8 hours.