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monitta
3 years ago
14

Allison can complete a sales route by herself in 6 hours. working with an associate, she completes the route in 4 hours. How lon

g would it take her associate to complete the route by herself?
Mathematics
2 answers:
coldgirl [10]3 years ago
6 0

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 = \dfrac{1}{6}  

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

Unit of work done by here associate = \dfrac{1}{x}  

\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}  

x=12 hours.

Learn more:

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

Keywords:

Time and work, unit of work, man work time

allsm [11]3 years ago
4 0
We know that
if <span>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 </span><span>working with an associate, she completes the route in 4 hours
</span>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

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