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      Question

      Aman and Priya can paint a house in 20 days. Priya and

      Rina can paint the same house in 30 days, while Aman and Rina can paint it in 40 days. How many days will it take for all three of them to paint the house together?
      A 6(2/3 Correct Answer Incorrect Answer
      B 10(6/13) Correct Answer Incorrect Answer
      C 18(6)/13 Correct Answer Incorrect Answer
      D 26(2/3) Correct Answer Incorrect Answer

      Solution

      (Aman +Priya)         (Priya +Rina)(         (Aman+Rina) 20                          30                          40                               120(total work) 6                            4                            3        -Efficiency. Total Efficiency of Aman Priya and Rina – 2(Aman + Priya + Rina) =6+4+3=13 (Aman + Priya + Rina) =13/2=6.5 And now together to clean the apartment=120/6.5 =1200/65 =240/13 =18(6/13)

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