Unit Rates with Ratios of Fractions Quick Check

Question

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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

Answer 1

To find the total time it will take Miguel to reach his destination, we can set up a proportion using the given information:

4 hours corresponds to 23 of the total distance.

Let's represent the total time as T. The proportion can be written as:

4 hours / 23 distance = T hours / 1 total distance

Cross-multiplying, we get:

4 hours * 1 total distance = 23 distance * T hours

4T = 23

Dividing both sides by 4, we find that:

T = 23 / 4

Simplifying the fraction, we get:

T = 5.75 hours

Therefore, the total time it will take Miguel to reach his destination is 5.75 hours.