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1 man would take 80 days to complete the work, so

1 man in 1 day would complete 1/80 of the work.

1 child would take 160 days to complete the work, so

1 child in one day would complete 1/160 of the work.

In 1 day, 5 men and 10 children could do 5/80 + 10/160 = 1/16 +1/16 = 1/8 of the work.

It would take them 8 days to do the job.

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