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After a parade, a group of volunteers is helping to pick up the trash along a 2-mile stretch of a road. The group decides to divide the length of the road so that each volunteer is responsible for cleaning up equal-length sections. Find the length of a road section for each volunteer if there are 8 volunteers

Respuesta :

Answer: 0.25 miles

Step-by-step explanation:

When solving a word question, look for certain words that tell you what you should be solving for, and how to solve it.

In this problem, the group DIVIDES the length of the road EQUALLY, which tells you that in order to solve the problem, you must divide the length of the road by the number of volunteers.

The road is 2 miles long, and there are 8 volunteers, so

8/2 = 0.25

Thus, each person must clean 0.25 miles of road.

Using proportions, it is found that the length of road section for each volunteer will be of 0.25 miles.

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  • This question is solved by proportions, using a rule of three to find the length of the road assigned to each volunteer, as each volunteers will be assigned an equal length of the road.
  • In total, the length of the road is of 2 miles. Thus, 8 volunteers are responsible for 2 miles. For how many miles will a single volunteer be responsible?

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The rule of three is given by:

8 volunteers - 2 miles.

1 volunteer - x miles

Applying cross multiplication:

[tex]8x = 2[/tex]

[tex]x = \frac{2}{8}[/tex]

[tex]x = \frac{1}{4}[/tex]

[tex]x = 0.25[/tex]

The length of road section for each volunteer will be of 0.25 miles.

A similar problem is given at https://brainly.com/question/14136767