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?(1 point)
Responses
12 hours
12 hours
8/3 hours
Start Fraction 8 over 3 End Fraction hours
8 hours
8 hours
6 hours
The correct answer is 8/3 hours or 2 2/3 hours.
To find out how long the total drive will take, we can use a proportion.
Let x represent the total time it will take for Miguel to reach his destination.
We know that he has driven 23 units of distance in 4 hours, so we can set up the proportion:
4 hours / 23 distance = x hours / total distance
Using cross multiplication, we can solve for x:
4 * total distance = 23 * x
total distance = (23 * x) / 4
Now, since Miguel wants to know the total time it will take him to reach his destination, we can substitute the total distance with 1 unit (since we're only looking for the ratio of time here):
1 = (23 * x) / 4
We can solve for x by multiplying both sides of the equation by 4 and then dividing by 23:
4/23 = x
So, at this rate, the total time it will take Miguel to reach his destination is 4/23 hours or Start Fraction 8 over 3 End Fraction hours.
To find the total time it will take Miguel to reach his destination, we can set up a proportion using the given information. We know that in 4 hours, Miguel has driven 23 units of distance. Let's call the total distance D and the total time it will take Miguel to reach his destination T.
The proportion can be written as:
4 hours / 23 units = T hours / D units
To find T, we can cross multiply and solve for T:
4 hours * D units = 23 units * T hours
4D = 23T
Now, we need to solve for T. We know from the question that he has driven 23 units and we want to find the total time it will take him to complete the entire distance. Let's substitute 23 for D:
4(23) = 23T
92 = 23T
To solve for T, divide both sides of the equation by 23:
92 / 23 = T
T = 4
Therefore, the total time it will take Miguel to reach his destination is 4 hours.
So, the correct answer is: 4 hours.