Unit Rates with Ratios of Fractions Quick Check

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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

1 answer

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