X, Y and Z complete a work in 6 days. X for Y alone can do the same work in 16 days. In how many days Z alone can finish the same work?

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RRB TC CC Exam (Patna) 2006 click here to view all questions

X, Y and Z complete a work in 6 days. X for Y alone can do the same work in 16 days. In how many days Z alone can finish the same work?

Aa) 12

Bb) 24

Cc) 16

Dd) 36

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Answer is 24 X and Y and Z complete a work in = 6 days; One day's work of (X+Y+Z) = $\frac{1}{6}$; X complete the work in = 16 days; One day's work of X = $\frac{1}{16}$; Y complete the work in = 16 days; One day's work of Y = $\frac{1}{16}$; Then, Z's one day's work = TotalWork - X's Work -Y's Work $=>\frac{1}{6}-\frac{1}{16}-\frac{1}{16}$ $=> \frac{1}{6}-\frac{2}{16}$ $=> \frac{(16-12)}{96}$ $=>\frac{4}{96}$ $=>\frac{1}{24}$ Thus, Z can complete the work in = 24 days.  Akilesh Kharvi ? answered Nov 5 '2016 at 13:36 All Comments

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