A) 4 days
B) 5 days
C) 6 days
D) 7 days
Correct Answer: C
Solution :
One day work of (A + B)\[=\frac{1}{8}\] |
One day work of (B + C) \[=\frac{1}{12}\] |
One day work of (C+A) \[=\frac{1}{8}\] |
\[\therefore \] One day work of 2(A+B+C)\[=\frac{1}{8}+\frac{1}{12}+\frac{1}{8}\] |
\[=\frac{3+2+3}{24}=\frac{8}{24}=\frac{1}{3}\] |
\[\therefore \] One day work of (A+B+C) \[=\frac{1}{2}\times \frac{1}{3}=\frac{1}{6}\] |
Hence, all three complete the work in 6 days. |
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