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    Question

    A can cultivate 3/5th of the land in 15 days

    and B can cultivate 1/4th of the land in 10 days. In how many days working together A and B can cultivate 13/25th of the land?
    A 4 days Correct Answer Incorrect Answer
    B 12 days Correct Answer Incorrect Answer
    C 6 days Correct Answer Incorrect Answer
    D 8 days Correct Answer Incorrect Answer

    Solution

    3/5th of the land is cultivated by A in 15 days Whole land is cultivated by A in = `(15xx5/3)`  = 25 days 1/4th of the land is cultivated by B in 10 days Whole land is cultivated by B in (10 × 4) days = 40 days (A + B)’s 1 day’s work = `(1/25+1/40)=((8+5)/(200))=13/200` days Whole land is cultivated by both in `200/13` days. 13/25th land is cultivated by both in = `(200/13xx13/25)` = 8 days

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