If A and B can do work together in 8 days,B can alone complete work in 12 days.They started to work together , B left after 4 days, How much days a require to complete the work?
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Work rate of B = 100/12 = 8.33% per day.
Work rate of A and B together = 100/8 = 12.5% per day.
So, Work Rate of A = 12.5 - 8.33 = 4.16% per day.
Work Done by A and B in 4 days = 12.5 *4 = 50%.
Rest Work = 100 - 50 = 50%.
Now, 50% work will be completed by A in,
= 50/4.16 = 12 days.
So, A required 12 more days to complete the work.