Question
A, B, and C together can complete a task in 8 days. A
alone can do it in 24 days, and B alone can do it in 18 days. How long will it take C alone to finish the work?Solution
Work done by A, B, and C together in one day = 1/8 Work done by A in one day = 1/24 Work done by B in one day = 1/18 Work done by C in one day = (1/8) - (1/24 + 1/18) LCM of 8, 24, and 18 = 72 Work done by C in one day = (9/72) - (3/72 + 4/72) = 9/72 - 7/72 = 2/72 Time taken by C = 1 ÷ (2/72) = 36 days Correct Option: d
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