Maths / Direct and Inverse Variation / Time and Work

QUESTION
 

2 men or 3 women can do a piece of work in 12 days. In how days 4 men and 6 women can do the same work?

OPTIONS
A. 

4 days

B. 


6 days

C. 


3 days

D. 


2 days

Right Option : C

EXPLANATION
Explain TypeExplanation Content
Text

According to question

Work done by 2 men in 12 days = 1

work done by 1 man in one day =

large frac{1}{2 X 12}=frac{1}{24}

Work done by 4 men in 1 day = large frac{4}{24}=frac{1}{6}

Work done by 3 women in 12 days= 1

work done by 1 women in 1 day =

large frac{1}{3 X 12}=frac{1}{36}

work done by 6 women in 1 day =large frac{6}{36}=frac{1}{6}

work done by 4 men and 6 women in 1 day =large frac{1}{6}+frac{1}{6}= frac{2}{6}= frac{1}{3}

No of days taken by 4 men and 6 women = 3 days

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