# Person working alternately Time and work quantitative aptitude Question and Answer From R.S Aggarwal Book

A and B working separately can do a piece of work in 9 & 12 days respectively. If they work for a day alternately. A beginning In how many days they work will be completed? Time and work quantitative aptitude Question and Answer

First data: A and B working separately do work in 9 and 12 days
Second data: if they do work in alternately.
1 day is A
2 day is B
3. day is A …………………. Like that

If they do work like that in how many days they finish.

A is one day work =1/9
B is one day work =1/12

If A and B is working together alternately then there work in two days=1/9+1/12=7/36
Why add 2 days mean firs day A work then second day B is working so I mention two days

These is very important step so observe carefully
There two days work is 7/36 if they are finish work then there ratio is 36/36 which mean 1 fulfill work complete work.
So x*7/36 is <36/36 style="font-weight: bold;"> 5. So 5*7/36=35/36
so they are complete 35/36 Remaining work is 1-35/36=1/36 One day work* days= total work 11 day work is A’ duty . A is one day work is 1/9 Days=? Total work=1/36 Days=total work/one day work= (1/36)*9=1/4 Total time =10+1/4= 10¼ (10 days and one half day) work in(5*2(a and b work alternatively so I give 2)=10) days Reference form R.S Aggarwal Book