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    • Question

      Chinu takes 20 days more and

      Diksha takes 6 days more than the number of days taken by both of them working together to complete a piece of work. How many days does Chinu take to complete the same piece of work working alone?
      A 31 days Correct Answer Incorrect Answer
      B 25 days Correct Answer Incorrect Answer
      C 15 days Correct Answer Incorrect Answer
      D 18 days Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let x be the number of days taken by both Chinu and Diksha working together. Chinu takes 20 days more than both working together = C= x+20. Diksha takes 6 days more than both working together = D=x+6. The combined work rate equation is

      Solve for x

      Cross-multiply and simplify to get x2 = 120, so x ≈ 11. Chinu takes C = x+20 = 11+20 = 31 days.

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