A and B can do a piece of work in 6 days and 12 days respectively A started the work,'worked at it for 2 days and then boys joined by B find the total time taken to complete the work
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work done by A in 1 day = 1/6
work done by A in 2days = 1/3
remaining work after 2 days = 1- 1/3 = 2/3
B can do work in 1 day = 1/12
A+B one day work = 1/6+1/12 =3/12 =1/4
A+B takes 4 days to finish the work
no. of to finish 2/3 of the work = 2/3 *4 =8/3 days
total no of days = 2 +8/3 =4 2/3 days
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