A) 8 days
B) 10 days
C) 12 days
D) 16 days
Correct Answer: A
Solution :
Number of days taken by A and B to do the work = 8 Number of days taken by B and C to do the work = 12 A's and B's one day work \[=\frac{1}{8}\] B's and C's one day work \[=\frac{1}{12}\] Number of days taken by A's, B's and C's to do the work = 6 A's, B's and C's One day work \[=\frac{1}{6}\] B's one day work \[=\frac{1}{8}+\frac{1}{12}-\frac{1}{6}\] \[=\frac{1}{24}\] A's and C's one day work \[=\frac{1}{6}-\frac{1}{24}\] \[=\frac{3}{24}=\frac{1}{8}\] Hence, A and C can do the work in 8 days.
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