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?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 × 3 = 108 days--------(iii) Now, equating equation (ii) and (iii) => 0.9 W × 3(y – 8) = 0.8 × 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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