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    Question

    x men can finish a work in y days. 0.9x women can finish

    1/3rd of the same work in (y - 8) days. If 0.8x women can complete 1/3rd work in 36 days. Find 0.5x men can finish one-fourth of the same work in how many days?
    A 22 days Correct Answer Incorrect Answer
    B 23 days Correct Answer Incorrect Answer
    C 20 days Correct Answer Incorrect Answer
    D 21 days Correct Answer Incorrect Answer
    E 27 days Correct Answer Incorrect Answer

    Solution

    We can see that x is common in this question, so we will take x = 1 Now according to question, 1 M = y days---------(i) 0.9 W = 3 (y – 8) days -------(ii) 0.8 W = 36 Γ— 3 = 108 days--------(iii) Now, equating equation (ii) and (iii) => 0.9 W Γ— 3(y – 8) = 0.8 Γ— 108 => y – 8 = 32 => y = 40 1 man can do a piece of work in 40 days 0.5 men can complete 1/4th of the work in 80/4 = 20 days

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