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12 men can complete a piece of work in 30 days. The works gets started by 20 men on 1st April, 2017 and continue for 2 more days. Due to wage issue, 12 men are replaced by 20 women who completes the remaining work along with remaining men in 15 days. If the whole work has to be done in 10 days by the women alone, how many women would be required to complete the work in desired time?

12 men can complete a piece of work in 30 days. The works gets started by 20 men on 1st April, 2017 and continue for 2 more days. Due to wage issue, 12 men are replaced by 20 women who completes the remaining work along with remaining men in 15 days. If the whole work has to be done in 10 days by the women alone, how many women would be required to complete the work in desired time? Correct Answer 60

Total amount of work done by 12 men in 30 days = 12 × 30 = 360 men days

Amount of work done by 20 men in 3 days = 20 × 3 = 60 men days

Amount of work left = 360 - 60 = 300 men days

Number of men require to complete the work in 15 days = 300/15 = 20 men

Given 12 men work = 20 women work

Number of men require to complete the work in 10 days = 360/10 = 36 men

Number of woman require to complete the work = (12 men × 3)

⇒ 20 × 3 (12 men = 20 women)

⇒ 60 women

∴ Number of women required to complete the work alone in 10 days = 60

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