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Allison can complete a sales route by herself in 6 hours. working with an associate, she completes the route in 4 hours. How long would it take her associate to complete the route by herself?

Respuesta :

calculista
we know that
if Allison can complete a sales route by herself in 6 hours
then
100% of the sales route---------------> 6 hours
x%--------------------------> 1 hour
x=100/6-----> x=16.67%/hour


Allison working with an associate, she completes the route in 4 hours
then 
100%------------------> 4 hours
x%----------------> 1 hour
x=100/4-----> x=25%

An associate in 1 hour complete-------> 25%-16.67%----> 8.33%
then
 an associate complete in 1 hour--------> 8.33%
 x hour--------------------------> 100%
x=100/8.33-----> x=12 hours

the answer is
12 hours

Answer:

Allison associate takes 12 hours to complete the route.

Explanation :

Number of hours taken by Allison to complete a sales = 6 hours

Number of hours taken by Allison and her associate together = 4 hours

We need to find the number of hours taken by her associate.

Let time taken by here associate be x hours

Further Explanation:

Unit of work done by Allison = [tex]\dfrac{1}{6}[/tex]  

Unit of work done by Allison and here associate together = [tex]\dfrac{1}{4}[/tex]  

Unit of work done by here associate = [tex]\dfrac{1}{x}[/tex]  

[tex]\dfrac{1}{4}=\dfrac{1}{6}+\dfrac{1}{x}\\\\\dfrac{1}{x}=\dfrac{1}{4}-\dfrac{1}{6}\\\\\dfrac{1}{x}=\dfrac{3-2}{12}\\\\\dfrac{1}{x}=\dfrac{1}{12}[/tex]  

x=12 hours.

Learn more:

https://brainly.com/question/12791734  (Answered by Johanrusli)

Keywords:

Time and work, unit of work, man work time

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