9 men and 12 women can complete a work in 4 days, whereas 3 men and 6 women can complete it in 10 days. The number of days in which 15 women will complete the work is:

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9 men and 12 women can complete a work in 4 days, whereas 3 men and 6 women can complete it in 10 days. The number of days in which 15 women will complete the work is:

A9

B10

C8

D12

Answer:

C. 8

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Solution: Given: 9 men and 12 women can complete a work in 4 days 3 men and 6 women can complete it in 10 days. Calculation: According to question Work done is same, so, (9 men + 12 women) × 4 = (3 men + 6 women) × 10 ⇒ 36 men - 30 men = 60 women - 48 women ⇒ 6 men = 12 women ⇒ 1 man = 2 women As 9 men and 12 women can complete a work in 4 days 9 men and 12 women = 18 women + 12 women = 30 women Time taken by 30 women to do the work = 4 days Time taken by 1 woman = (4 × 30) days = 120 days ∴ Time taken by 15 woman = (120/15) days = 8 days

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