Question
18 women can weave a carpet in 20 days. If 9 women
started weaving the carpet and after 10 days ‘y’ more women joined them such that the remaining work got completed in 15 days, then find the value of ‘y’.Solution
Total work = 18 × 20 = 360 units Work completed by 9 women in 10 days = 9 × 10 = 90 units Remaining work = 360 – 90 = 270 units Let the number of women added be ‘y’. Therefore, (9 + y) × 15 = 270 135 + 15y = 270 15y = 135 y = 9 Number of women added = 9
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