A) 6 days
B) 12 days
C) 4 days
D) 8 days
Correct Answer: A
Solution :
A's one day's work \[=\frac{1}{12}\] A's three day's work \[=\frac{3}{12}=\frac{1}{4}\] Remaining work \[=1-\frac{1}{4}=\frac{3}{4}\] \[\because \] (A + B) complete the \[\frac{3}{4}\text{th}\] work in 3 days. \[\therefore \] (A + B) complete the work in \[3\times \frac{4}{3}=4\,\,\text{days}\] \[\therefore \] B?s one day s work \[=\frac{1}{4}-\frac{1}{12}=\frac{3-1}{12}=\frac{2}{12}=\frac{1}{6}\] Hence, B can complete the work in 6 days.You need to login to perform this action.
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