A can complete 5/6 of a work in 15 days and B can complete 2/3 of work in 8 days. In how many days both A and B together can complete the work?
A completes 5/6 units in 15 days A completes 1 unit in 15 x (6/5) = 18 days B completes 2/3 unit of work in 8 days B completes 1 unit of work in 8 x 3/2 = 12 days LCM of 12 and 18 = 36 units A's efficiency = 3 units/day and B's efficiency = 2 units/day A and B will complete the whole work in (total work)/efficiency of (A + B) = 36/(3 + 2) = 7(1/5) days
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