Three men or eight boys can do a piece of work in 17 days. How many days will two men and six boys together take to finish the same work? |
A) 9 days
B) 11 days
C) 14 days
D) 12 days
E) None of these
Correct Answer: D
Solution :
\[3M=8B\]\[\Rightarrow \]\[1M=\frac{8}{3}B\] |
\[\therefore \] \[2M+6B=2\times \frac{8}{3}B+6B=\frac{34B}{3}\] |
According to the question, |
8 boys finishes the work in 17 days. |
\[\therefore \] \[\frac{34}{3}\] boys finishes the work in |
\[\frac{17\times 8\times 3}{34}=12\,\,\text{days}\] |
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