Twelve children take sixteen days to complete a work which can be comp

1.	Twelve children take sixteen days to complete a work which can be completed by eightadults in twelve days. Sixteen adults started working and after three days ten adultaleft and four children joined them. How many days will they take to complete theremaining work
Answer» 12 children take 16 days to complete the work=> 1 child takes 16×12=192 days to complete the work=> Work done by 1 child in 1 day =1/192 8 adults take 12 days to complete the work=> 1 adult takes 12×8=96 days to complete the work=> Work done by 1 adult in 1 day =1/96 16 adults worked for 3 daysWork completed =16×1/96×3=1/2Remaining work =1−1/2=1/2 This remaining work is done by 6 adults and 4 childrenWork done in 1 day =6×1/96+4×1/192=1/16+1/48=1/12 Required days to complete the remaining work =(1/2)(1/12)=6

Twelve children take sixteen days to complete a work which can be completed by eightadults in twelve days. Sixteen adults started working and after three days ten adultaleft and four children joined them. How many days will they take to complete theremaining work

Answer»

12 children take 16 days to complete the work=> 1 child takes 16×12=192 days to complete the work=> Work done by 1 child in 1 day =1/192

8 adults take 12 days to complete the work=> 1 adult takes 12×8=96 days to complete the work=> Work done by 1 adult in 1 day =1/96

16 adults worked for 3 daysWork completed =16×1/96×3=1/2Remaining work =1−1/2=1/2

This remaining work is done by 6 adults and 4 childrenWork done in 1 day =6×1/96+4×1/192=1/16+1/48=1/12

Required days to complete the remaining work =(1/2)(1/12)=6