Question : X, Y, and Z can complete a piece of work in 20, 12, and 28 days respectively. If all work together, the approximate number of days to complete the work will be:
Option 1: 6
Option 2: 7
Option 3: 4
Option 4: 5
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Correct Answer: 6
Solution :
The time taken by X, Y, and Z to complete the work is 20, 12, and 28 days respectively.
Work done by X, Y, and Z in a day is $\frac{1}{20}$, $\frac{1}{12}$, and $\frac{1}{28}$ respectively.
Work done by X, Y, and Z together in a day = $\frac{1}{20}+\frac{1}{12}+\frac{1}{28}$ = $\frac{71}{420}$
So, time is taken by X, Y, and Z to complete the work together = $ \frac{420}{71}\approx$ 6 days
Hence, the correct answer is 6.
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