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

Solution

✅ Correct Option: 2

Combined rate =16=\frac{1}{6}. X and Y each contribute 116\frac{1}{16}, together 216=18\frac{2}{16}=\frac{1}{8}.

So Z's rate =16−18=4−324=124=\frac{1}{6}-\frac{1}{8}=\frac{4-3}{24}=\frac{1}{24}.

Z alone takes 24 days.

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