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    Question

    A alone can complete 60% of a work in 24 days while B

    takes 20 days more than A to complete it. If B and C together can complete the work in 35 days, then find the time taken by C alone to complete the same work.
    A 72 days Correct Answer Incorrect Answer
    B 32.5 days Correct Answer Incorrect Answer
    C 30 days Correct Answer Incorrect Answer
    D 36 days Correct Answer Incorrect Answer
    E 84 days Correct Answer Incorrect Answer

    Solution

    Time taken by A alone to complete the entire work = 24/0.6 = 40 days Time taken by B alone to complete the entire work = 40 + 20 = 60 days Let the total work = L.C.M of 40, 60 and 35 = 840 units Then, efficiency of B = (840/60) = 14 units/day Combined efficiency of B and C = (840/35) = 24 units/day So, efficiency of C alone = 24 – 14 = 10 units/day So, time taken by C alone to complete the entire work = (840/10) = 84 days

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