Twelve children take sixteen days to complete a work which can be completed by 8 adults in 12 days. After working for 3 days, sixteen adults left and six adults and four children joined them. How many days will they take to complete the remaining work ?
A. 3 days
B. 4 days
C. 6 days
D. 8 days
C. 6 days
12 children take 16 days to complete a work.
so,
1 child’s 1 day’s work=1/(12*16)
1 child’s 1 day’s work=1/192
8 adults take 12 days to complete a work.
So,
1 adult’s day’s work=1/(8*12)
1 adults day’s work=1/96
But, after working of 3 days, 16 adults left
so,
16 adults 3 day’s work= 16*3*1/96
16 adults 3 day’s work=1/2
therefore,
the remaining work will be:
Remaining work=1-1/2
Remaining work=1/2
Now (6 adults+ 4 Children) 1 day’s work will be:
(6 adults+4 children) 1 day’s work=6/96+4/192
(6 adults+4 children) 1 day’s work= 16/192
(6 adults+4 children) 1 day’s work=1/12
so,
1/12th of the work is done by them in 1 day
thus,
they take following days to complete the remaining work.
(1÷1/12)*1/2
(1*12)*1/2
12/2
6 days
Submitted by: Admin