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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?

User Sunnny
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1 Answer

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Final answer:

To find the total time it will take Miguel to reach his destination, we need to determine the remaining distance and divide it by the rate at which he is driving. If he has driven 23 of the total distance in 4 hours, then the remaining distance he needs to drive is 77% of the total distance.

Step-by-step explanation:

To find the total time it will take Miguel to reach his destination, we need to determine the remaining distance and divide it by the rate at which he is driving.

If he has driven 23 of the total distance in 4 hours, then the remaining distance he needs to drive is (100 - 23) = 77% of the total distance.

Since he drove 23% in 4 hours, we can set up a proportion:

  1. 23 / 4 = 77 / x

Cross-multiplying gives us 23x = 308, and dividing both sides by 23 gives us x = 308 / 23.

So, the time it will take Miguel to reach his destination is approximately 13.39 hours, or 13 hours and 24 minutes.

User Scott Kuhl
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