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If 24 men and 6 women can complete a work in 10 days while 6 men and 6 women can complete the same work in 12 days. In how many days 4 men and 1 women will complete the work?1. 45 days2. 18 days3. 60 days4. 48 days |
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Answer» Correct Answer - Option 3 : 60 days Given: 24 Men and 6 women can complete the work in 10 days 6 men and 6 women can complete the work in 12 days Calculation: (24M + 6W) × 10 = (6M + 6W) × 12 ⇒ 240M + 60W = 72M + 72W ⇒ 168M = 12W ⇒ M : W = 1 : 14 Total work = (24 × 1 + 6 × 14) × 10 = 1080 units Time in which 4 men and 1 women will complete the work = 1080/(4 × 1 + 14 ) = 60 days ∴ 4 men and 1 woman can complete the work in 60 days |
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