SOLUTION: 12 women alone can complete a piece of work in 5 days, whereas 3 women and 9 children together can complete the same piece of work in 10 days. In how many days can 36 children co

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Question 769141: 12 women alone can complete a piece of work in 5 days, whereas 3 women and 9 children together can complete the same
piece of work in 10 days. In how many days can 36 children complete the same piece of work ?
(1) 10 days (2) 2 days (3) 5 days (4) 8 days (5) None of these

Answer by knighty2002uk(39) About Me  (Show Source):
You can put this solution on YOUR website!
Wordy answer but here goes.
12 women take 5 days to do one item. Therefore each woman contributed 1/60th of the item per day.
3 women working for 10 days = 30/60ths of the item = 1/2.
9 children therefore make 1/2 an item in 10 days.
36 children will make 2 items in 10 days, so they can make 1 item in 5 days.
(answer is (3) 5 days)