4 women and 4 children start working together. How many days will they need to paint a house completely, if 3 women alone can paint the house in 18 days and 6 children too alone can do the same in 18 days?
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9 days
Time taken by 3 women to paint = 18 (given)
Work done by 3 women in one day= 1/18
Work done by 1 women in one day = 1/54
Work done by 4 women in one day= 4/54
Time taken by 6 children to paint = 18
Work done by 6 children in one day = 1/18
Work done by 1 children in one day = 1/108
Work done by 4 children in one day = 4/108
Work done by 4 children and 4 women in 1 day
= (4/108) + (4/54)
= 12/108
= 1/9
therefore,
time taken by 4 women and 4 children to paint
time taken by 4 women and 4 children to paint= 9 days
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