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Three men, four women and six children can complete a work in seven days. A women does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days.
let x=days 4 women take to complete the job by themselves
1/x=4 women's work rate
1/2x=3 men's work rate
1/4x=6 children's work rate
work rate when working together=1/7
4 women working together by themselves can complete the job in 49/4 days
1/u=each women's work rate
u=49 days each women would take to complete the job by herself
so 7 women could complete the job in 7 days working together