| 12 men take 36 days to do a work while 12 women complete \[\frac{3}{4}th\] of the same work in 36 days. In how many days 10 men and 8 women together will complete the same work? |
A) 6
B) 27
C) 12
D) Data inadequate
Correct Answer: B
Solution :
| In 36 days 12 men can do 1 complete work. |
| In 36 days 12 women can do \[\frac{3}{4}th\] of the work. |
| Since, time and the number of persons is the same in both cases. |
| 1 woman's daily work \[=\frac{3}{4}th\] of 1 man's daily work |
| 8 women's daily work \[\frac{3}{4}\times 8=6\] men's daily work |
| 10 men + 8 women's dally work |
| \[=\text{(10}\,\text{men}+\text{6}\,\text{men)}\] |
| = 16 men's daily work |
| \[\therefore \]12 men can do the work is 36 days, |
| \[\therefore \]16 men can do the work \[=\text{36}\times \frac{12}{16}=27\,days.\] |
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