A man alone can paint a house in 9 day and a woman alone can paint the house in 18 days. If 3 men and 3 women work together, then in how many day they will paint the house?
Answer & explanation
Correct answer: option 3
One Man’s 1 day work = \(\frac{ 1 }{ 9}\)
Three men’s 1 day work = 3 x \(\frac{ 1 }{ 9}\) = \(\frac{ 1 }{ 3}\)
One woman’s 1 day work = \(\frac{ 1 }{ 18}\)
Three women’s 1 day work = 3 x \(\frac{ 1 }{ 18}\) = \(\frac{ 1 }{ 6}\)
Three men and three women one day work = \(\frac{ 1 }{ 3}\) + \(\frac{ 1 }{ 6}\) = \(\frac{ 1 }{ 2}\)
Three men and three women will complete the work in = 2 days