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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 =┬а`(15xx5/3)` ┬а= 25 days 1/4th of the land is cultivated by B in 10 days Whole land is cultivated by B in (10 ├Ч 4) days = 40 days (A + B)тАЩs 1 dayтАЩs work =┬а`(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 =┬а`(200/13xx13/25)` = 8 days

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