| 3 women and 18 children together take 2 days to complete a piece of work. How many days will 9 children alone take to complete the piece of work, if 6 women alone can complete the piece of work in 3 days? |
| [IBPS (Clerk) 2011] |
A) 9
B) 7
C) 5
D) 6
E) None of these
Correct Answer: D
Solution :
| One day work of 6 women \[=\frac{1}{3}\] |
| One day work of 1 woman \[=\frac{1}{18}\] |
| and one day's work of 3 women \[=\frac{3}{18}=\frac{1}{6}\] |
| \[\therefore \]One day's work of 18 children \[=\frac{1}{2}-\frac{1}{6}=\frac{3-1}{6}=\frac{1}{3}\] |
| One day's work of 1 child \[=\frac{1}{3\times 18}=\frac{1}{54}\] |
| Hence, one day's work of 9 children \[=\frac{9}{3\times 18}=\frac{1}{6}\] |
| Hence, 9 children will take 6 day's work to complete the work. |
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