Question
A can finish a piece of work in 12 days and B can finish
it in 18 days. They work together for 4 days, after which B leaves. In how many more days will A complete the remaining work?Solution
Take total work = LCM of 12 and 18 = 36 units A’s 1-day work = 36 / 12 = 3 units B’s 1-day work = 36 / 18 = 2 units Together 1-day work = 3 + 2 = 5 units Work done in 4 days = 4 × 5 = 20 units Remaining work = 36 − 20 = 16 units A alone does 3 units/day. Required days = 16/3 = 5 1/3 days
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