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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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