Question
A and B can complete a piece of work in 12 days
and 18 days respectively. They start working together, but A leaves after 4 days . In how many more days will B finish the remaining work?Solution
Let total work = LCM(12, 18) = 36 units A’s rate = 36 / 12 = 3 units/day B’s rate = 36 / 18 = 2 units/day In 4 days together: Work done = (3 + 2) × 4 = 5 × 4 = 20 units Remaining work = 36 − 20 = 16 units B alone does 2 units/day: Time = 16 / 2 = 8 days So B needs 8 more days.
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