A can complete a piece of work in 27 days. He worked for 21 days and then B finished the remaining work in 8 days. In how many days can A and B finish the work together?
A can complete a piece of work in 27 days. A does the work in 27 days =1 A does the work in 1 day =1/27 A does the work in 21 days = (1/27) ×21=7/9 Remaining work =1-7/9 =2/9 Remaining work finished by B in 8 days =8×9/2=36days. A and B together finish the work – 27 36 108 4 3 =108/4+3 =108/7 =15(3/7) days.
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