Trent can deliver his newspapers in 20 minutes. it takes lois 60 minutes to do the same route. how would it take them to deliver the newspapers together?

Respuesta :

Answer:

It takes 15 minutes for them to deliver the newspapers together

Step-by-step explanation:

Let x be the job of delivering news paper.

Rate of Trent [tex]=\frac{x}{20}[/tex]

Rate of Lois [tex]=\frac{x}{60}[/tex]

If they work together time required

          [tex]t=\frac{x}{\frac{x}{20}+\frac{x}{60}}=\frac{20\times 60}{20+60}=\frac{1200}{80}=\frac{120}{8}=15\texttt{ minutes}[/tex]

It takes 15 minutes for them to deliver the newspapers together

The time taken for both of them to deliver the newspaper together is; 15 minutes.

Rates and Frequency

According to the question;

  • Their individual rates of delivering x newspapers in 20 minutes are; x/20 and x/60

  • Hence, their combined rate is; x/20 + x/60

Combined rate = 4x/60

Hence, the time taken for both of them. to deliver the x newspapers together is;

  • t = x ÷ 4x/60

  • t = 60/4 = 15 minutes

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