Question
A and B can complete a piece of work in 12 days and 16
days respectively. They work together for 4 days, and then A leaves. How many more days will B take to finish the remaining work?Solution
Work done by A and B together in 1 day = 1/12 + 1/16 = (4 + 3)/48 = 7/48. Work done in 4 days = 4 × (7/48) = 28/48 = 7/12. Remaining work = 1 - 7/12 = 5/12. B completes 1/16 work per day. Time taken by B = (5/12) ÷ (1/16) = (5/12) × 16 = 80/12 = 6.67 days. Correct Option: b
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