Question 178

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 ?

Solution

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.


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