Question
24 men can complete a task in 16 days. 32 women can
complete the same task in 24 days. 8 men and 8 women start working together and work for 8 days. How many more men are required to complete the remaining work in 4 days?Solution
Given: 24 men → 16 days → total work = 384 man-days 32 women → 24 days → total work = 768 woman-days So, 1 man = 2 women Work done by 8 men + 8 women in 8 days 8 women = 4 men ⇒ total = 8 + 4 = 12 men Work = 12 × 8 = 96 man-days Remaining work Total = 384 man-days Done = 96 Left = 384 – 96 = 288 man-days Men needed to finish in 4 days 288 ÷ 4 = 72 men Already have 8 men ⇒ Extra men = 72 – 8 = 64
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