A) 70 days
B) 30 days
C) 40 days
D) 50 days
Correct Answer: C
Solution :
Let the time taken by B alone to complete the work be\[x\]days. \[\therefore \]Time taken by A to complete \[\frac{1}{2}\]work\[=\frac{x}{6}\]days \[\therefore \]Work of A for 1 day\[=\frac{1}{2}\times \frac{6}{x}=\frac{3}{x}\] and Work of B for 1 day\[=\frac{1}{x}\] \[\Rightarrow \] \[\frac{3}{x}+\frac{1}{x}=\frac{1}{10}\] \[\Rightarrow \] \[\frac{4}{x}=\frac{1}{10}\] \[x=40\,\,\text{days}\].
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