| 4 men can do a piece of work in 10 days, 2 women can do it in 15 days and 5 children can do it in 12 days. In how many days can 8 men, 5 women and 15 children together complete the piece of work (in days)? |
A) \[\frac{60}{37}\]
B) \[\frac{60}{47}\]
C) \[\frac{60}{27}\]
D) \[\frac{60}{57}\]
Correct Answer: A
Solution :
| 4 men's 1 day's work \[=\frac{1}{10}\] |
| 1 man's 1 day's work \[=\frac{1}{40}\] |
| 2 women's 1 day's work \[=\frac{1}{15}\] |
| 1 women's 1 day's works \[=\frac{1}{30}\] |
| 5 children 1 day's work \[=\frac{1}{12}\] |
| 1 child's 1 day's work \[=\frac{1}{60}\] |
| (8 men + 6 women + 15 children)'s 1 day's works \[=\frac{8}{40}+\frac{5}{30}+\frac{15}{60}=\frac{1}{5}+\frac{1}{6}+\frac{1}{4}=\frac{37}{60}\] |
| They finish the work in\[\frac{60}{37}\]days. |
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