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10 men and 8 women together can complete a work in 5 days. Work done by one women in day is equal to half the work done by man in 1 day. How many days will it take for 4 men and 6 women to complete that work ?
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- 12 days
- 10 days
- 82/3
- 43/4 days
- None of the above
Correct Option: B
According to the question,
1 man = 2 women
∴ 10 men + 8 women = (20 + 8) women = 28 women
4 men + 6 women = (8 + 6) women = 14 women
Given, M1 = 28, M2 = 14, D1 = 5, D2 = ?
and W1 = W2 = 1
According to the formula, M1D1W2= M2D2W1
⇒ 28 x 5 x 1 = 14 x D2 x 1
∴ D2 = (28 x 5)/14 = 10 days
