| 10 men or 18 women can do a piece of work in 38 days. In how many days will 6 men and 12 women do it? |
A) 40
B) 30
C) 21
D) 25
Correct Answer: A
Solution :
| 18 women = 10 man |
| \[\therefore \] 1 woman \[=\frac{10}{18}\]man \[=\frac{5}{9}\]man |
| \[\Rightarrow \]12 women \[=\frac{5}{9}\times 12\]man |
| \[\therefore \]B men and 12 women \[=\left( 6+\frac{20}{3} \right)\]man \[=\frac{38}{3}\]men |
| Let the number of days be x. |
| Then, \[\frac{\frac{38}{3}}{10}=\frac{38}{x}\]\[\Rightarrow \]\[x=30\]days |
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