| If one man or two women or three boys can finish a work in 66 days, then how many days will one man, one woman and one boy together take to finish the same work? [OBC (Clerk) 2011] |
A) 30 days
B) 36 days
C) 42 days
D) 24 days
E) None of these
Correct Answer: B
Solution :
| \[1M=2W=3B\] |
| \[\therefore \] 1 man, 1 woman and 1 boy |
| \[=\left( 1+\frac{1}{2}+\frac{1}{3} \right)\text{men}=\frac{11}{6}\text{men}\] |
| Number of days |
| \[\text{=}\,\,\text{66}\times \frac{6}{11}=36\,days\] |
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