Miguel is returning from a trip. In 4 hours, he has driven 23 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?
Since Miguel has driven 23/100 of the total distance, he has 1- 23/100 = 77/100 of the total distance left to drive.
If 4 hours represent 23/100 of the total driving time, then 1 hour represents 1/(23/100) = 100/23 of the driving time.
At this rate, the total drive will take 4*100/23 = <<4*100/23=17.3913>>17.3913 hours. Answer: \boxed{17.3913}.
To find out the total time it will take Miguel to reach his destination, we can use a proportion.
Let's assume the total distance Miguel needs to travel is represented by "d" units. Since he has already driven 23 of the total distance, the remaining distance he needs to cover is (d - 23) units.
We know that Miguel has driven for 4 hours and covered 23 units of distance. So, we can set up the proportion:
4 hours / 23 units = x hours / (d - 23) units
To solve for "x," we cross-multiply:
4 * (d - 23) = 23 * x
4d - 92 = 23x
Now, we can isolate "x" by dividing both sides of the equation by 23:
(4d - 92) / 23 = x
This gives us the value of "x," which represents the total time it will take Miguel to reach his destination.
To find the total time it will take for Miguel to reach his destination, we need to determine the time it will take for him to drive the remaining distance.
Given that Miguel has driven 23 of the total distance in 4 hours, we can set up a proportion to find the total time.
Let's denote the total distance as "D" and the total time as "T".
We have the ratio: 23/4 = D/T
To find T, we can cross multiply and solve for T:
23T = 4D
Dividing both sides by 23, we have:
T = (4D)/23
So, at this rate, the total time it will take Miguel to reach his destination is (4D)/23.