Unit Rates with Ratios of Fractions Quick Check
4 of 54 of 5 Items
Question
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
83 hours
Start Fraction 8 over 3 End Fraction hours
8 hours
8 hours
12 hours
12 hours
6 hours
6 hours
To find the total time it will take Miguel to reach his destination, we need to use the ratio of fractions.
Since Miguel has driven 23 out of the total distance in 4 hours, we can set up the ratio:
23/4 = x/total time
To solve for x, we can cross multiply:
23 * total time = 4 * x
Now we can divide both sides of the equation by 4 to solve for x:
total time = (4 * x)/23
So, the total time it will take Miguel to reach his destination is 4x/23 hours.
Therefore, the correct answer is:
Start Fraction 8 over 3 End Fraction hours
To find the total time it will take Miguel to reach his destination, we need to determine the ratio of the distance he has driven to the total distance.
The given information states that in 4 hours, Miguel has driven 23 of the total distance. So the ratio of the distance driven to the total distance is:
(23/54)
To find the total time it will take Miguel to reach his destination, we can set up a proportion using the ratio of the distance driven to the total distance and the time taken to drive the known distance:
(23/54) = 4/x
To solve for x, we can cross-multiply:
23x = 4 * 54
23x = 216
Divide both sides by 23 to isolate x:
x = 216/23
x ≈ 9.391 hours
Therefore, at this rate, it will take Miguel approximately 9.391 hours to reach his destination
To find the answer to this question, we'll first calculate the unit rate of Miguel's driving. The unit rate tells us how much distance Miguel covers in one hour.
Given that Miguel has driven 23 of the total distance in 4 hours, we can set up the ratio:
23 / 4
Now, we need to express this ratio as a fraction. To do this, we write it as a fraction where the numerator is the number of items (23) and the denominator is the total number of items (4):
23 / 4
To find the unit rate, we divide the numerator by the denominator:
23 ÷ 4 = 5.75
So, the unit rate of Miguel's driving is 5.75.
To calculate the total time it will take him to reach his destination, we divide the total distance by the unit rate. However, the total distance is not given in the question.
Based on the information provided, we are unable to determine the total time it will take Miguel to reach his destination. Therefore, none of the given answer options are correct.