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      Question

      If a group of 8 boys and 12 girls can complete a task in 40

      days, and a team of 4 girls alone can finish the same task in 80 days, how long will it take for 32 boys to finish the entire task on their own?
      A 40 Correct Answer Incorrect Answer
      B 24 Correct Answer Incorrect Answer
      C 30 Correct Answer Incorrect Answer
      D 45 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ;
      Task done by 4 girls in 1 day = 1/80

      Task done by 12 girls in 1 day = 3/80 = 1/26.67

      Task done by 8 boys = 1/40 – 1/26.67 = 1/120

      Task done by 32 boys = 4/120 = 1/30

      Hence, required time = 30 days

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