Respuesta :
Answer: C can complete the work in 12 days.
Step-by-step explanation:
Alright, lets get started.
Given that, A and B can separately do a piece of work in 24 days and 16 days respectively.
It means, in 1 day, A can complete the part of work : [tex]\frac{1}{24}[/tex]
It means, in 1 day, B can complete the part of work : [tex]\frac{1}{16}[/tex]
As they both worked together for 6 days,
in 6 days, A can complete the part of work : [tex]6*\frac{1}{24}=\frac{1}{4}[/tex]
in 6 days, B can complete the part of work : [tex]6*\frac{1}{16}=\frac{3}{8}[/tex]
So, together they had completed the work : [tex]\frac{1}{4}+\frac{3}{8}=\frac{5}{8}[/tex]
So remaining work will be : [tex]1-\frac{5}{8}[/tex]
So remaining work will be : [tex]\frac{3}{8}[/tex]
Now this remaining work is done by A and C together.
Suppose C alone can do this work in C days.
So in 3 days, A and C completed the rest work :
[tex]3 \times(\frac{1}{24}+\frac{1}{C})=\frac{3}{8}[/tex]
[tex]\frac{1}{24}+\frac{1}{C}=\frac{1}{8}[/tex]
[tex]\frac{1}{C}=\frac{1}{8}-\frac{1}{24}[/tex]
[tex]\frac{1}{C}=\frac{1}{12}[/tex]
[tex]C=12[/tex]
Hence C can complete the work in 12 days. : Answer
Hope it will help :)
Answer:
C can complete the work in 12 days.
Step-by-step explanation:
Hope this helps
