1.

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

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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