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The distance that a person drives at a constant speed varies directly with the amount of time they have been
driving. If, at a particular speed, a person drives 107 miles in two hours, then how far will they drive, at the
same speed, in 14 hours?

Respuesta :

livinglifethebestway

Answer:

749 miles

Step-by-step explanation:

I divided 107 by 2 and then multiplied that by 14

a person drives 53.5 at that particular speed so they keep driving that amount of miles each hour so it's 749

Lanuel

The distance they will drive, at the same speed, in 14 hours is 749 miles.

Given the following data:

  • Distance A = 107 miles
  • Time A = 2 hours
  • Time B = 14 hours

To find how far (distance) will they drive, at the same speed, in 14 hours, we would apply direct proportion:

By using direct proportion:

107 miles = 2 hours

X miles = 14 hours

Cross-multiplying, we have:

[tex]2X = 107 \times 14\\\\2X = 1498\\\\X = \frac{1498}{2}[/tex]

X = 749 miles

Read more: https://brainly.com/question/18676621

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