16 women can complete a work in 12 days. 24 children can complete the same
work in 18 days. 17 women and 8 children started working and after 8 days 3
more children joined them, how many days will they now take to complete the
remaining work
Answers
Answered by
5
Answer:
One day work of 16 men is 121.
One day work of 24 children is 181.
One men's one day work is 12×161.
One child's one day work is 24×181.
One day work of 12 men and 8 children is 12×1612+24×188.
One day work = 54×835.
Work done in 8 days = 8×54×835=5435.
Remaining work = 1−5435=5419.
The remaining work is 12× one men's one day work + 11× one child's one day work.
Hence, 12×12×161+11×24×18
One day work multiplied by number of days to complete remaining work = remaining work
Therefore, the work is done in 4 days.
(161+2411×18)x=5419
⇒x=4
Thus they take 4 days to complete the remaining work.
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