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    Question

    ‘C’ and ‘D’ can together complete a piece of

    work in 20 days. If ‘C’ alone can do it in 50 days, find the number of days ‘D’ will take to complete it alone.
    A 120/7 days Correct Answer Incorrect Answer
    B 100/3 days Correct Answer Incorrect Answer
    C 32/2 days Correct Answer Incorrect Answer
    D 45/4 days Correct Answer Incorrect Answer

    Solution

    ATQ, Let total work = LCM(20, 50) = 100 units. Combined efficiency of ‘C’ and ‘D’ = 100 ÷ 20 = 5 units/day Efficiency of ‘C’ = 100 ÷ 50 = 2 units/day Efficiency of ‘D’ = 5 - 2 = 3 units/day Time taken by ‘D’ alone = 100 ÷ 3 = (100/3) days

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