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    Question

    AтАЩ and тАШBтАЩ together can complete a work in 10 days

    while тАШAтАЩ takes 15 days to complete the same work alone. If тАШCтАЩ is 20% more efficient than тАШBтАЩ, then find the time taken by тАШCтАЩ alone to complete the whole work.
    A 20 days Correct Answer Incorrect Answer
    B 24 days Correct Answer Incorrect Answer
    C 25 days Correct Answer Incorrect Answer
    D 27 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the total work = 30 units Efficiency of (A + B) = 30/10 = 3 units/day Efficiency of тАШAтАЩ = 30/15 = 2 unit/day Therefore, efficiency of тАШBтАЩ = 3 тАУ 2 = 1 units/day Efficiency of тАШCтАЩ = 1.2 ├Ч 1 = 1.2 units/day Required time taken = 30/1.2 = 25 days

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