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    Question

    'A' and 'B' together can complete the work in 15 days.

    'B' alone can complete the work in 30 days. If C is 50% more efficient than A, find the time taken by 'C' alone to finish the work.
    A 12 days Correct Answer Incorrect Answer
    B 15 days Correct Answer Incorrect Answer
    C 20 days Correct Answer Incorrect Answer
    D 10 days Correct Answer Incorrect Answer

    Solution

    Let the total work be 120 units Combined efficiency of 'A' and 'B' = (120/15) = 8 units/day Efficiency of 'B' alone = (120/30) = 4 units/day Efficiency of 'A' alone = 8 - 4 = 4 units/day Efficiency of 'C' = 4 X (3/2) = 6 units/day Time taken by 'C' alone to finish the work = 120 ÷ 6 = 20 days

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