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Mr. I does a job in x hours while Mr. L can do it in y hours. How much of the job could they do together if they were to work for k hours?

Respuesta :

Answer: Work done by both of them in k hours is

[tex]\frac{k(x+y)}{xy}[/tex]

Explanation:

Since we have given that

Number of hours Mr. I does a job = x hours

Number of hours Mr. L does a job = y hours

Work done by Mr. I is given by

[tex]\frac{1}{x}[/tex]

Work done by Mr. L is given by

[tex]\frac{1}{y}[/tex]

Work done if they do together is given by

[tex]\frac{1}{x}+\frac{1}{y}\\\\=\frac{x+y}{xy}[/tex]

Work done if they work together for k hours is given by

[tex]\frac{x+y}{xy}\times k\\\\=\frac{k(x+y)}{xy}[/tex]

Hence, work done by both of them in k hours is

[tex]\frac{k(x+y)}{xy}[/tex]

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