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
If Miguel has already driven 2/3 of the total distance in 4 hours, then he has 1/3 of the total distance left to cover.
Since Miguel was able to cover 2/3 of the distance in 4 hours, it means he drives 2/3 divided by 4, or 1/6 of the total distance per hour.
Therefore, it would take him 1/3 of the total distance divided by 1/6 of the total distance per hour for him to reach his destination.
Simplifying the expression, 1/3 divided by 1/6 is the same as 1/3 multiplied by 6/1, which is equal to 6/3 or 2.
Therefore, it will take Miguel a total time of 2 hours to reach his destination.
To find the total time it will take Miguel to reach his destination, we need to determine how long it took him to drive 2/3 of the total distance.
Since he drove 2/3 of the total distance in 4 hours, we can find the time it took him to drive 1/3 of the distance by dividing 4 hours by 2.
4 hours รท 2 = 2 hours
So, it took him 2 hours to drive 1/3 of the total distance.
Now, to find the total time it will take him to reach his destination, we add the 2 hours it took him to drive 1/3 of the distance to the original 4 hours.
Total time = 4 hours + 2 hours = 6 hours
Therefore, it will take him 6 hours in total to reach his destination.
To find out the total time it will take Miguel to reach his destination, we can use the concept of rates and proportions.
Given that Miguel has driven 2/3 of the total distance in 4 hours, we can set up a proportion to find the total time:
(2/3 of the distance) / (4 hours) = (total distance) / (total time)
Since we want to find the total time, we can rearrange the proportion:
(total distance) / (total time) = (2/3 of the distance) / (4 hours)
Now we can solve for the total time.
First, we need to determine the remaining distance, which is 1/3 of the total distance (since Miguel has driven 2/3 already).
Let's denote the total distance as 'd', so the remaining distance is (1/3)d.
Now we can substitute the values into our proportion equation:
(d) / (total time) = ((2/3)d) / (4 hours)
Next, we can cross-multiply to solve for the total time:
3d = (2/3)d * 4 hours
Simplifying, we get:
3d = (8/3)d * hours
Now divide both sides by (8/3)d:
(total time) = (3d) / ((8/3)d) * hours
The 'd' cancels out, leaving us with:
(total time) = 3 / (8/3) hours
To simplify, we can multiply the numerator and denominator by the reciprocal of 8/3, which is 3/8:
(total time) = 3 / (8/3) hours * (3/8)/(3/8)
(total time) = 3 * (3/8) hours
Now calculate:
(total time) = 9/8 hours
Therefore, at the current rate, it will take Miguel 9/8 hours (or 1 hour and 7.5 minutes) to reach his destination.