Question
A can complete a task in 24 days, B can complete the
same task in 18 days, and C can complete it in 12 days. A and B work together for 4 days, and then C takes over. How many days will C take to complete the remaining work?Solution
Work done by A and B together in 4 days = 4 × (1/24 + 1/18) = 4 × (7/72) = 28/72 = 7/18. Remaining work = 1 - 7/18 = 11/18. C can complete 1/12 of the work per day. Time taken by C to complete 11/18 of the work = (11/18) / (1/12) = 11/18 × 12 = 22/3 = 7.33 days.
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