A woman has her three daughters First and second can take 24 and 30 days resp to complete a work In ...........

Quantitative Aptitude ( CCS) Time and work

A woman has her three daughters. First and second can take 24 and 30 days resp. to complete a work .In how many days third one takes to complete the work. If woman can complete the whole work alone in 3(3/11) days .The efficiency of woman is double than her three daughters.

22 days

12 days

13 days

21 days

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Explanation:

Solution:
LCM = 72 (if we are taking woman and her two daughters )
Here it is given
Woman Three daughters
Time taken = 1 : 2
Efficiency= 2 : 1Three daughters, let P +Q+R=11
3+2+R=11
R=6 days
Her third daughter complete the work in =72/6= 12 Days