Question

A and B can do a piece of work in 9 days , B can C can do it in 15 days and A and C can do it in 8 days to finish. How much time will A,B and C take to finish the work separately.​

Answer 1

Answer:

a in 8 days

b in 15 days

c in 8 days

Answer 2

Answer:

They can do work together in 1 day

Step-by-step explanation:

$\ggg \underline{\bold{Given:-}}$

Piece of work done by A and B = 9 days

Piece of work done by B and C = 15 days

Piece of work done by A and C = 8 days

$\ggg\underline{\bold{To\:Find:-}}$

How much time will A,B and C take to finish the work separately.?

$\ggg\underline{\bold{Solution:-}}$

$A+B=\frac{1}{9} \:\:\:\:\: ....\textcircled{1}$

$B+C=\frac{1}{15} \:\:\:\:\:\:....\textcircled{2}$

$A+C=\frac{1}{8} \:\:\:\:\:\:....\textcircled{3}$

Now,

$\Rightarrow A+B+B+C+A+C$

$\Rightarrow \frac{1}{9} +\frac{1}{15}+\frac{1}{8}$

$\Rightarrow \frac{40+24+45}{360}$

$\Rightarrow \frac{101}{360} = 0.28 \approx 1$

They can do work together in 1 day