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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