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

`(k(x+y))/(xy)`

Step-by-step 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

`(1)/(x)`

Work done by Mr. L is given by

`(1)/(y)`

Work done if they do together is given by

`(1)/(x)+(1)/(y)\\\\=(x+y)/(xy)`

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

`(x+y)/(xy)* k\\\\=(k(x+y))/(xy)`

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

`(k(x+y))/(xy)`