1.

12 men alone can complete a piece of work in 6 days. Whereas 10 men and 21 women together take 3 days to complete the same piece of work. In how many days can 12 women alone complete the piece of work?

Answer»

10
9
11
8

Solution :`therefore` 12 MEN complete the work in 6 days.
`therefore` 1 man's 1 day's work `= 1/72`
`therefore`10 men's 3 day's work `=(10xx3)/72 = 5/12`
Remaining work `=1- 5/12 = 7/12`
`therefore` 21 WOMEN do `7/12` work in 3 days.
`therefore by (M_(1)D_(1))/W_(1)=(M_(2)D_(2))/W_(2)`
`(21xx3)/(7/12) = (12xxD_(2))/1 RARR (21xx3xx12)/(7xx12)=D_(2)`
`rArr D_(2) = 9` days


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