A and B can do a piece of work in 6 days and 4 days respectively. A started the work, worked at it for 2 days and then was joined by B. Find the total time taken to complete the work.

Given,


A can do a piece of work in = 6 days


B can do same piece of work in = 4 days


Work done by A in 1 day =


In 2 Days he finished = part of work


Remaining work =


So, Remaining work will be finished by A and B in = days


Total time taken to complete the work = 2 + = 3 days


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