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Terrance runs 5 miles each week. His brother runs 5/6 the distance Terrance runs in one week. How far does Terrance’s brother run in one week ?
A 3 1/3 miles
B 4 1/6 miles
C 5 1/6 miles
D 4 miles

Respuesta :

Lanuel

The amount of distance that was covered by Terrance’s brother in one week is equal to 4.167 miles.

  • Let the distance covered by Terrance be T.
  • Let the distance covered by the brother be B.

Given the following data:

  • Distance T = 5 miles
  • Distance = [tex]\frac{5T}{6} \;miles[/tex]

To determine the amount of distance that was covered by Terrance’s brother in one week:

How to calculate the distance.

In this exercise, you're required to determine how far Terrance’s brother ran in one week considering that Terrance ran 5 miles each week while his brother ran [tex]\frac{5}{6}[/tex] of this distance. Thus, we would multiply the distance covered by Terrance in one week by [tex]\frac{5}{6}[/tex] as follows:

[tex]B = \frac{5}{6} \times 5\\\\B=\frac{25}{6}[/tex]

B = 4.167 miles

Learn more about distance here: https://brainly.com/question/10545161

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