| 8 men can complete a piece of work in 20 days and 8 women can complete the same work in 32 days. In how many days will 5 men and 8 women together complete the work? [CBI (PO) 2010] |
A) 16
B) 12
C) 14
D) 10
E) None of these
Correct Answer: A
Solution :
| 20 day's work of 8 men = 32 day's work of 8 women |
| \[\Rightarrow \]One day's work of 160 men |
| = 1 day's work of 256 women |
| \[\Rightarrow \] 5M = 8W |
| \[\therefore \] 5M and 8W = 16W |
| \[\therefore \] \[\frac{8}{16}=\frac{x}{32}\] |
| \[\Rightarrow \] \[x=\frac{8\times 32}{16}=16\,\,\text{days}\] |
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