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Question

If $$12$$ men or $$18$$ women can complete a piece of work in $$7$$ days , then in how many days can $$4$$ men and $$8$$ women complete the same work ?


A
9 days
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B
12 days
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C
6 days
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D
7 days
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Solution

The correct option is A $$9$$ days
$$12$$ men $$=18$$ women 
$$2$$ men $$=3$$ women
$$12$$ men or $$18$$ women can complete a piece of work in $$7$$ days.
$$4$$ men and $$8$$ women $$=6+8$$ women $$=14$$ women.
If $$18$$ women can complete a piece of work in $$7$$ days.
So, $$1$$ women can complete a piece of work in $$7\times18$$ days.
So, $$14$$ women can complete a piece of work in $$7\times\dfrac{18}{14}$$ days $$=9$$ days.

Hence, option A.

Mathematics

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