SOLUTION: two men A and B can finish a work in 16 days and 12 days respectively.A and B are working together after 4 days A left the work,then the remaining work completed by B in how many d

Question 883377: two men A and B can finish a work in 16 days and 12 days respectively.A and B are working together after 4 days A left the work,then the remaining work completed by B in how many days?
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!
two men A and B can finish a work in 16 days and 12 days respectively.A and B are working together after 4 days A left the work,then the remaining work completed by B in how many days?

>>A...can finish a work in 16 days<<

So A's rate is

>>...B can finish a work in...12 days<<

So B's rate is

A and B are working together...(for)...4 days

  

So their combined work rate is  



For those 4 days before A left, they had done

 

So, when A left, there was still  of the job left for B to do by
himself. Suppose it took B alone N days to do the remaining  of the
job. Since B's work rate is , the equation is:

 

or



Multiply both sides by LCD=12

N = 5 days.

Edwin

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