Question

Shahid can do a peice of work in 5 days , Sameer can do the same work in ten days and Salman can do it in 15 days . if All three work together , in how many days can they finish the job?​

Answer 1

Answer:

We are given that  3  men do the work in  16  days.

So, Work done by  3  men in 1 day  =1/16  

Now, Work done by  1  man in 1 day =  1/(16∗3)=1/48  days.

Similarly, Work done by 1 woman in 1 day can be found out and it is  1/64  

Now, Work done by 12 men in 1 day =  12/48=1/4  

Work done by 8 women in 1 day = 8/64=1/8 .

Now, Work done 12 men and 8 women in 1 day =  1/4+1/8=3/8  

So, 12 men and 8 men do  3/8  of work in 1 day.

So, to complete the work, it will take them  8/3  days. We Just inverse the fraction found above. This is the beauty of Unitary Method.

So, the total time taken is 8/3 days = 2 Days 16 Hrs

Hope that helps. :)

Step-by-step explanation: