Mauricio takes 24 hours, and Alyson takes 24/5 hours if the Mauricio does a job in 6 hrs less time than Alyson.
Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
Let x and y be the time to take the job for Mauricio and Alyson respectively
1/x = 1/y - 1/6 ..(1)
1/x + 1/y = 1/4 ..(2)
After solving the equations:
[tex]\rm \dfrac{1}{\dfrac{6y}{6-y}}+\dfrac{1}{y}=\dfrac{1}{4}[/tex]
y = 24/5 hours
x = 24 hours
Thus, Mauricio takes 24 hours, and Alyson takes 24/5 hours if Mauricio does a job in 6 hrs less time than Alyson.
Learn more about the fraction here:
brainly.com/question/1301963
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