Question

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?

Answer 1

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

$\frac{k(x+y)}{xy}$

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

$\frac{1}{x}$

Work done by Mr. L is given by

$\frac{1}{y}$

Work done if they do together is given by

$\frac{1}{x}+\frac{1}{y}\\\\=\frac{x+y}{xy}$

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

$\frac{x+y}{xy}\times k\\\\=\frac{k(x+y)}{xy}$

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

$\frac{k(x+y)}{xy}$