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 of the total distance in 4 hours, he has been driving at a rate of 23/4 = 5.75 miles per hour.
If the total distance is x miles, the total time it will take him to reach his destination is x/5.75 = << x/5.75=5.75 >>5.75 hours. Answer: \boxed{5.75}.
To find the total time it will take Miguel to reach his destination, we can calculate the time it takes him to drive the remaining distance.
Let's say the total distance he has to drive is D.
From the given information, we know that he has driven 23 units of distance in 4 hours.
So, the rate at which he is driving is 23/4 units per hour.
To find the remaining distance, we subtract the distance he has driven (23 units) from the total distance (D):
Remaining distance = D - 23
Now, we can find the time it will take him to drive the remaining distance using the rate:
Time = Remaining distance / Rate
Time = (D - 23) / (23/4)
To simplify this equation, we can multiply the numerator and denominator by 4:
Time = (4*(D - 23)) / 23
Therefore, the total time it will take Miguel to reach his destination is (4*(D - 23)) / 23.
To determine the total time it will take Miguel to reach his destination, we need to find the time it will take him to complete the remaining distance.
First, we need to find the distance Miguel has left to travel. We know that he has driven 23 units of distance in 4 hours, so we can find the distance he drives in 1 hour by dividing the total distance by the time taken:
23 units / 4 hours = 5.75 units/hour
Therefore, Miguel drives at a rate of 5.75 units per hour.
To find the remaining distance, we subtract the distance Miguel has already driven from the total distance. Let's call the total distance D.
Remaining distance = Total distance - Distance driven = D - 23 units
Now, we can calculate the total time it will take him to reach his destination by dividing the remaining distance by the rate at which he drives:
Total time = Remaining distance / Rate of driving
Total time = (D - 23 units) / 5.75 units/hour
So, the total time it will take Miguel to reach his destination is (D - 23 units) divided by 5.75 units/hour.