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Question 176
6 women and 10 children together take 6 days to complete a piece of work. How many days will 10 children alone take to complete the piece of work if 6 women alone can complete the piece of work in 10 days?
Solution
It is given that 6 woman can complete the work in 10 days. Let the work completed by each woman be 'w'.
Work = 10*6w = 60w.
10 children and 6 woman complete the work in 6 days. Let the amount of work completed by each child be 'c'.
6*(10c+6w) = 60w
60c+36w = 60w
60c = 24w
Multiplying both sides by 2.5, we get,
150c = 60w
Therefore, 10 children will take 15 days to complete the work.
Option D is the right answer.
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