4 women and 12 children together take 4 days to complete a piece of work. How many days will 4 children alone take to complete the piece of work if 2 women alone can complete the piece of work in 16days?
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Answer:24 days
Step-by-step explanation:
2 women can finish the work in 16 days. So 4 women can finish the work in 16÷2=8 days 4 women and 12 children can complete 1/4 th of the work in 1 day. Similarly 4 women can complete 1/8 th part of work in 1 day. So 12 children will complete (1/4-1/8)=1/8th part of work in 1 day. So 1 child in 1 day can complete 1/8×1/12=1/96th part of work. Similarly 4 children will complete 4×1/96=1/24 th part of work in 1 day. So to complete the entire work 4 children will take 24 days.
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