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?
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) = 16;
X complete the work in = 16 days;
One day's work of X = 116;
Y complete the work in = 16 days;
One day's work of Y = 116;
Then, Z's one day's work = TotalWork - X's Work -Y's Work
=>16−116−116=>16−216
=>(16−12)96
=>496
=>124
Thus, Z can complete the work in = 24 days.
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