Question
A can finish a work in 12 days and B can finish the same
work in 18 days. They work together for 4 days and then B leaves. In how many more days can A alone finish the remaining work?Solution
ATQ, Take total work = LCM(12, 18) = 36 units. A’s rate = 36/12 = 3 units/day B’s rate = 36/18 = 2 units/day Together, in 1 day = 5 units. In 4 days, work done = 5 × 4 = 20 units. Remaining work = 36 − 20 = 16 units. A alone does 3 units/day. Days needed = 16/3 = 5⅓ days.
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