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      Question

      If a group of 12 boys and 18 girls together can complete

      a task in 24 days, and a team of 6 girls alone can finish the same task in 96 days, how long will it take for 48 boys to finish the entire task on their own?
      A 40 Correct Answer Incorrect Answer
      B 24 Correct Answer Incorrect Answer
      C 35 Correct Answer Incorrect Answer
      D 45 Correct Answer Incorrect Answer

      Solution

      ATQ;
      Task done by 6 girls in 1 day = 1/96

      Task done by 18 girls in 1 day = 3/96 = 1/32

      Task done by 12 boys = 1/24 – 1/32 = 1/96

      Task done by 48 boys = 4/96 = 1/24

      Hence, required time = 24 days

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