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    Question

    'A' and 'D' together can finish a project in 40 days. If

    'D' alone can complete 25% of the project in 15 days, then find out how long it takes for 'A' alone to finish the project.
    A 100 days Correct Answer Incorrect Answer
    B 120 days Correct Answer Incorrect Answer
    C 85 days Correct Answer Incorrect Answer
    D 95 days Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Time taken by 'D' to complete the project alone = 15 × (100/25) = 60 days Let the total work be 120 units. {LCM (40 and 60)} Efficiency of 'A' and 'D' together = (120/40) = 3 units/day Efficiency of 'D' = (120/60) = 2 units/day Efficiency of 'A' = 3 - 2 = 1 unit/day Time taken by 'A' to complete the work alone = (120/1) = 120 days

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