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At the end of the day, Dodie can clean her hair salon in 15 minutes. Ann, who works with her, can clean the salon in 30 minutes. How long would it take them to clean the shop if they work together?

Respuesta :

JeanaShupp

Answer: 10 minutes

Step-by-step explanation:

Given : Time taken by Dodie to clean her hair salon = 15 minutes

Time taken by Ann to clean the hair salon = 30 minutes

Let t be the time taken by both of them if they work together, then we have

[tex]\dfrac{1}{t}=\dfrac{1}{15}+\dfrac{1}{30}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{2+1}{30}=\dfrac{3}{30}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{10}\\\\\Rightarrow\ t=10[/tex]

Hence, it would take 10 minutes to clean the salon if both work together.

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