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 ?

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

Solution:
12×16×C=12×8×A
Or, A:C=2:1 [Efficiency ratio]
Let, Required time be T days
Applying MDH Method:
12×8×2=16×2×3+(6×2+4×1)×T
Or, 192=96+14T
Or, T=6
Answer:6 days