High School

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A driver can deliver his newspapers in 80 minutes. His friend can take care of the same route in 2 hours. How long would it take them to do the job together?

Answer :

Using the together rate, it is found that it would take them 48 minutes to do the job together.

What is the together rate?

The together rate is the sum of each separate rate.

In this problem, consdering the measures in minutes:

  • The driver's ratio is of [tex]\frac{1}{80}[/tex].
  • His friend's ratio is of [tex]\frac{1}{120}[/tex].
  • The together ratio is of [tex]\frac{1}{x}[/tex].

Hence:

[tex]\frac{1}{x} = \frac{1}{80} + \frac{1}{120}[/tex]

[tex]\frac{1}{x} = \frac{3 + 2}{240}[/tex]

[tex]x = \frac{240}{5}[/tex]

[tex]x = 48[/tex]

It would take them 48 minutes to do the job together.

More can be learned about the together rate at https://brainly.com/question/25159431

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Rewritten by : Barada