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A glassblower can produce several sets of simple glasses in about 3 hours. When the glassblower works with
an apprentice, the job takes about 2 hours. Write an equation that can be used to find the amount of time t, in
hours, it would take for the apprentice to make the same number of sets of glasses when working alone.

Respuesta :

Using the together rate, it is found that it would take the apprentice 6 hours to make the same number of sets of glasses when working alone.

What is the together rate?

The together rate is the sum of each separate rate.

In this problem, the rates are:

  • Glassblower: 1/3.
  • Apprentice: 1/x.
  • Together: 1/2.

Hence, applying the equation for the together rate:

[tex]\frac{1}{2} = \frac{1}{x} + \frac{1}{3}[/tex]

[tex]\frac{x + 3}{3x} = \frac{1}{2}[/tex]

[tex]2x + 6 = 3x[/tex]

[tex]x = 6[/tex]

It would take the apprentice 6 hours to make the same number of sets of glasses when working alone.

To learn more about the together rate, you can take a look at https://brainly.com/question/25159431

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