A man and woman are engaged in a work. A man can do a piece of work in 4 days and the
woman can do in 12 days. Find how many days will they take to finish it together?
6 days
5 days
4 days
3 days
Explanation:
work done by a man in one day =$\dfrac{1}{4}$
work done by a woman in one day=$\dfrac{1}{12}$
No.of days to complete the same work by working together=$\dfrac{1}{4}+\dfrac{1}{12}$
=$\dfrac{1+3}{12}$=$\dfrac{4}{12}$=$\dfrac{1}{3}$
work done by a man in one day =$\dfrac{1}{4}$
work done by a woman in one day=$\dfrac{1}{12}$
No.of days to complete the same work by working together=$\dfrac{1}{4}+\dfrac{1}{12}$
=$\dfrac{1+3}{12}$=$\dfrac{4}{12}$=$\dfrac{1}{3}$